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Finding the Fourth Proportional to 3,738.60, 5,607.90 and 3,276.90

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Solution

The fourth proportional to 3,738.60, 5,607.90 and 3,276.90 is: 4,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.60 : 5,607.90 = 3,276.90 : x
  2. Step 2: Convert to fraction form
    3,738.60/5,607.90 = 3,276.90/x
  3. Step 3: Cross multiply
    3,738.60x = 5,607.90 × 3,276.90
  4. Step 4: Simplify right side
    3,738.60x = 18,376,527.51
  5. Step 5: Solve for x
    x = 18,376,527.51/3,738.60
  6. Step 6: Final answer
    x = 4,915.35

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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.