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Finding the Fourth Proportional to 3,977,341.92, 5,488,473.42 and 2,345,375.16

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Solution

The fourth proportional to 3,977,341.92, 5,488,473.42 and 2,345,375.16 is: 3,236,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977,341.92 : 5,488,473.42 = 2,345,375.16 : x
  2. Step 2: Convert to fraction form
    3,977,341.92/5,488,473.42 = 2,345,375.16/x
  3. Step 3: Cross multiply
    3,977,341.92x = 5,488,473.42 × 2,345,375.16
  4. Step 4: Simplify right side
    3,977,341.92x = 12,872,529,225,588.25
  5. Step 5: Solve for x
    x = 12,872,529,225,588.25/3,977,341.92
  6. Step 6: Final answer
    x = 3,236,465.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.