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Finding the Fourth Proportional to 5,306.59, 7,960.71 and 1,607.94

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Solution

The fourth proportional to 5,306.59, 7,960.71 and 1,607.94 is: 2,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.59 : 7,960.71 = 1,607.94 : x
  2. Step 2: Convert to fraction form
    5,306.59/7,960.71 = 1,607.94/x
  3. Step 3: Cross multiply
    5,306.59x = 7,960.71 × 1,607.94
  4. Step 4: Simplify right side
    5,306.59x = 12,800,344.04
  5. Step 5: Solve for x
    x = 12,800,344.04/5,306.59
  6. Step 6: Final answer
    x = 2,412.16

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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.