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Finding the Fourth Proportional to 5,892.90, 8,130.56 and 3,654.87

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Solution

The fourth proportional to 5,892.90, 8,130.56 and 3,654.87 is: 5,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.90 : 8,130.56 = 3,654.87 : x
  2. Step 2: Convert to fraction form
    5,892.90/8,130.56 = 3,654.87/x
  3. Step 3: Cross multiply
    5,892.90x = 8,130.56 × 3,654.87
  4. Step 4: Simplify right side
    5,892.90x = 29,716,121.55
  5. Step 5: Solve for x
    x = 29,716,121.55/5,892.90
  6. Step 6: Final answer
    x = 5,042.70

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1.5x scale

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.