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Finding the Fourth Proportional to 3,339.21, 5,009.42 and 1,147.46

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Solution

The fourth proportional to 3,339.21, 5,009.42 and 1,147.46 is: 1,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.21 : 5,009.42 = 1,147.46 : x
  2. Step 2: Convert to fraction form
    3,339.21/5,009.42 = 1,147.46/x
  3. Step 3: Cross multiply
    3,339.21x = 5,009.42 × 1,147.46
  4. Step 4: Simplify right side
    3,339.21x = 5,748,078.29
  5. Step 5: Solve for x
    x = 5,748,078.29/3,339.21
  6. Step 6: Final answer
    x = 1,721.39

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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.