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Finding the Fourth Proportional to 3,802.90, 5,704.35 and 3,414.10

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Solution

The fourth proportional to 3,802.90, 5,704.35 and 3,414.10 is: 5,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.90 : 5,704.35 = 3,414.10 : x
  2. Step 2: Convert to fraction form
    3,802.90/5,704.35 = 3,414.10/x
  3. Step 3: Cross multiply
    3,802.90x = 5,704.35 × 3,414.10
  4. Step 4: Simplify right side
    3,802.90x = 19,475,221.34
  5. Step 5: Solve for x
    x = 19,475,221.34/3,802.90
  6. Step 6: Final answer
    x = 5,121.15

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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.