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Finding the Fourth Proportional to 5,691.10, 7,857.08 and 5,059.88

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Solution

The fourth proportional to 5,691.10, 7,857.08 and 5,059.88 is: 6,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.10 : 7,857.08 = 5,059.88 : x
  2. Step 2: Convert to fraction form
    5,691.10/7,857.08 = 5,059.88/x
  3. Step 3: Cross multiply
    5,691.10x = 7,857.08 × 5,059.88
  4. Step 4: Simplify right side
    5,691.10x = 39,755,914.24
  5. Step 5: Solve for x
    x = 39,755,914.24/5,691.10
  6. Step 6: Final answer
    x = 6,985.63

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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.