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Finding the Fourth Proportional to 5,695.88, 7,854.82 and 5,064.52

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Solution

The fourth proportional to 5,695.88, 7,854.82 and 5,064.52 is: 6,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.88 : 7,854.82 = 5,064.52 : x
  2. Step 2: Convert to fraction form
    5,695.88/7,854.82 = 5,064.52/x
  3. Step 3: Cross multiply
    5,695.88x = 7,854.82 × 5,064.52
  4. Step 4: Simplify right side
    5,695.88x = 39,780,892.99
  5. Step 5: Solve for x
    x = 39,780,892.99/5,695.88
  6. Step 6: Final answer
    x = 6,984.15

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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.