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Finding the Fourth Proportional to 3,670.92, 5,517.72 and 2,381.40

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Solution

The fourth proportional to 3,670.92, 5,517.72 and 2,381.40 is: 3,579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.92 : 5,517.72 = 2,381.40 : x
  2. Step 2: Convert to fraction form
    3,670.92/5,517.72 = 2,381.40/x
  3. Step 3: Cross multiply
    3,670.92x = 5,517.72 × 2,381.40
  4. Step 4: Simplify right side
    3,670.92x = 13,139,898.41
  5. Step 5: Solve for x
    x = 13,139,898.41/3,670.92
  6. Step 6: Final answer
    x = 3,579.46

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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.