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Finding the Fourth Proportional to 3,678.72, 5,522.76 and 2,385.60

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Solution

The fourth proportional to 3,678.72, 5,522.76 and 2,385.60 is: 3,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.72 : 5,522.76 = 2,385.60 : x
  2. Step 2: Convert to fraction form
    3,678.72/5,522.76 = 2,385.60/x
  3. Step 3: Cross multiply
    3,678.72x = 5,522.76 × 2,385.60
  4. Step 4: Simplify right side
    3,678.72x = 13,175,096.26
  5. Step 5: Solve for x
    x = 13,175,096.26/3,678.72
  6. Step 6: Final answer
    x = 3,581.43

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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.