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Finding the Fourth Proportional to 4,032.90, 6,042.87 and 3,384.90

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Solution

The fourth proportional to 4,032.90, 6,042.87 and 3,384.90 is: 5,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.90 : 6,042.87 = 3,384.90 : x
  2. Step 2: Convert to fraction form
    4,032.90/6,042.87 = 3,384.90/x
  3. Step 3: Cross multiply
    4,032.90x = 6,042.87 × 3,384.90
  4. Step 4: Simplify right side
    4,032.90x = 20,454,510.66
  5. Step 5: Solve for x
    x = 20,454,510.66/4,032.90
  6. Step 6: Final answer
    x = 5,071.91

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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.