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Finding the Fourth Proportional to 5,367.66, 7,407.80 and 2,977.87

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Solution

The fourth proportional to 5,367.66, 7,407.80 and 2,977.87 is: 4,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.66 : 7,407.80 = 2,977.87 : x
  2. Step 2: Convert to fraction form
    5,367.66/7,407.80 = 2,977.87/x
  3. Step 3: Cross multiply
    5,367.66x = 7,407.80 × 2,977.87
  4. Step 4: Simplify right side
    5,367.66x = 22,059,465.39
  5. Step 5: Solve for x
    x = 22,059,465.39/5,367.66
  6. Step 6: Final answer
    x = 4,109.70

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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.