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Finding the Fourth Proportional to 5,680.47, 7,839.68 and 5,045.97

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Solution

The fourth proportional to 5,680.47, 7,839.68 and 5,045.97 is: 6,964.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.47 : 7,839.68 = 5,045.97 : x
  2. Step 2: Convert to fraction form
    5,680.47/7,839.68 = 5,045.97/x
  3. Step 3: Cross multiply
    5,680.47x = 7,839.68 × 5,045.97
  4. Step 4: Simplify right side
    5,680.47x = 39,558,764.86
  5. Step 5: Solve for x
    x = 39,558,764.86/5,680.47
  6. Step 6: Final answer
    x = 6,964.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.