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Finding the Fourth Proportional to 3,339.30, 5,009.31 and 1,147.77

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Solution

The fourth proportional to 3,339.30, 5,009.31 and 1,147.77 is: 1,721.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.30 : 5,009.31 = 1,147.77 : x
  2. Step 2: Convert to fraction form
    3,339.30/5,009.31 = 1,147.77/x
  3. Step 3: Cross multiply
    3,339.30x = 5,009.31 × 1,147.77
  4. Step 4: Simplify right side
    3,339.30x = 5,749,535.74
  5. Step 5: Solve for x
    x = 5,749,535.74/3,339.30
  6. Step 6: Final answer
    x = 1,721.78

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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.