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Finding the Fourth Proportional to 4,593.43, 6,890.70 and 1,306.77

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Solution

The fourth proportional to 4,593.43, 6,890.70 and 1,306.77 is: 1,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593.43 : 6,890.70 = 1,306.77 : x
  2. Step 2: Convert to fraction form
    4,593.43/6,890.70 = 1,306.77/x
  3. Step 3: Cross multiply
    4,593.43x = 6,890.70 × 1,306.77
  4. Step 4: Simplify right side
    4,593.43x = 9,004,577.86
  5. Step 5: Solve for x
    x = 9,004,577.86/4,593.43
  6. Step 6: Final answer
    x = 1,960.32

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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.