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Finding the Fourth Proportional to 3,833,776.72, 5,749,680.96 and 1,137,464.08

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Solution

The fourth proportional to 3,833,776.72, 5,749,680.96 and 1,137,464.08 is: 1,705,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833,776.72 : 5,749,680.96 = 1,137,464.08 : x
  2. Step 2: Convert to fraction form
    3,833,776.72/5,749,680.96 = 1,137,464.08/x
  3. Step 3: Cross multiply
    3,833,776.72x = 5,749,680.96 × 1,137,464.08
  4. Step 4: Simplify right side
    3,833,776.72x = 6,540,055,563,459.92
  5. Step 5: Solve for x
    x = 6,540,055,563,459.92/3,833,776.72
  6. Step 6: Final answer
    x = 1,705,904.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.