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Finding the Fourth Proportional to 3,349.29, 5,024.04 and 1,594.48

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Solution

The fourth proportional to 3,349.29, 5,024.04 and 1,594.48 is: 2,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.29 : 5,024.04 = 1,594.48 : x
  2. Step 2: Convert to fraction form
    3,349.29/5,024.04 = 1,594.48/x
  3. Step 3: Cross multiply
    3,349.29x = 5,024.04 × 1,594.48
  4. Step 4: Simplify right side
    3,349.29x = 8,010,743.86
  5. Step 5: Solve for x
    x = 8,010,743.86/3,349.29
  6. Step 6: Final answer
    x = 2,391.77

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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.