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Finding the Fourth Proportional to 3,342.96, 5,013.87 and 1,002.33

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Solution

The fourth proportional to 3,342.96, 5,013.87 and 1,002.33 is: 1,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.96 : 5,013.87 = 1,002.33 : x
  2. Step 2: Convert to fraction form
    3,342.96/5,013.87 = 1,002.33/x
  3. Step 3: Cross multiply
    3,342.96x = 5,013.87 × 1,002.33
  4. Step 4: Simplify right side
    3,342.96x = 5,025,552.32
  5. Step 5: Solve for x
    x = 5,025,552.32/3,342.96
  6. Step 6: Final answer
    x = 1,503.32

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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.