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Finding the Fourth Proportional to 3,349.53, 5,024.08 and 1,009.61

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Solution

The fourth proportional to 3,349.53, 5,024.08 and 1,009.61 is: 1,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.53 : 5,024.08 = 1,009.61 : x
  2. Step 2: Convert to fraction form
    3,349.53/5,024.08 = 1,009.61/x
  3. Step 3: Cross multiply
    3,349.53x = 5,024.08 × 1,009.61
  4. Step 4: Simplify right side
    3,349.53x = 5,072,348.78
  5. Step 5: Solve for x
    x = 5,072,348.78/3,349.53
  6. Step 6: Final answer
    x = 1,514.35

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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.