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Finding the Fourth Proportional to 5,103.57, 7,624.35 and 3,239.76

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Solution

The fourth proportional to 5,103.57, 7,624.35 and 3,239.76 is: 4,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.57 : 7,624.35 = 3,239.76 : x
  2. Step 2: Convert to fraction form
    5,103.57/7,624.35 = 3,239.76/x
  3. Step 3: Cross multiply
    5,103.57x = 7,624.35 × 3,239.76
  4. Step 4: Simplify right side
    5,103.57x = 24,701,064.16
  5. Step 5: Solve for x
    x = 24,701,064.16/5,103.57
  6. Step 6: Final answer
    x = 4,839.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.