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Finding the Fourth Proportional to 4,757.60, 6,551.88 and 3,429.20

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Solution

The fourth proportional to 4,757.60, 6,551.88 and 3,429.20 is: 4,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.60 : 6,551.88 = 3,429.20 : x
  2. Step 2: Convert to fraction form
    4,757.60/6,551.88 = 3,429.20/x
  3. Step 3: Cross multiply
    4,757.60x = 6,551.88 × 3,429.20
  4. Step 4: Simplify right side
    4,757.60x = 22,467,706.90
  5. Step 5: Solve for x
    x = 22,467,706.90/4,757.60
  6. Step 6: Final answer
    x = 4,722.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.