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Finding the Fourth Proportional to 4,593.62, 6,889.38 and 1,306.64

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Solution

The fourth proportional to 4,593.62, 6,889.38 and 1,306.64 is: 1,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593.62 : 6,889.38 = 1,306.64 : x
  2. Step 2: Convert to fraction form
    4,593.62/6,889.38 = 1,306.64/x
  3. Step 3: Cross multiply
    4,593.62x = 6,889.38 × 1,306.64
  4. Step 4: Simplify right side
    4,593.62x = 9,001,905.04
  5. Step 5: Solve for x
    x = 9,001,905.04/4,593.62
  6. Step 6: Final answer
    x = 1,959.66

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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.