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Finding the Fourth Proportional to 5,695.48, 8,538.18 and 3,064.40

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Solution

The fourth proportional to 5,695.48, 8,538.18 and 3,064.40 is: 4,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.48 : 8,538.18 = 3,064.40 : x
  2. Step 2: Convert to fraction form
    5,695.48/8,538.18 = 3,064.40/x
  3. Step 3: Cross multiply
    5,695.48x = 8,538.18 × 3,064.40
  4. Step 4: Simplify right side
    5,695.48x = 26,164,398.79
  5. Step 5: Solve for x
    x = 26,164,398.79/5,695.48
  6. Step 6: Final answer
    x = 4,593.89

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