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Finding the Fourth Proportional to 4,924.92, 7,389.54 and 2,002.71

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Solution

The fourth proportional to 4,924.92, 7,389.54 and 2,002.71 is: 3,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.92 : 7,389.54 = 2,002.71 : x
  2. Step 2: Convert to fraction form
    4,924.92/7,389.54 = 2,002.71/x
  3. Step 3: Cross multiply
    4,924.92x = 7,389.54 × 2,002.71
  4. Step 4: Simplify right side
    4,924.92x = 14,799,105.65
  5. Step 5: Solve for x
    x = 14,799,105.65/4,924.92
  6. Step 6: Final answer
    x = 3,004.94

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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.