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Finding the Fourth Proportional to 5,580.64, 8,372.24 and 2,461.53

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Solution

The fourth proportional to 5,580.64, 8,372.24 and 2,461.53 is: 3,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.64 : 8,372.24 = 2,461.53 : x
  2. Step 2: Convert to fraction form
    5,580.64/8,372.24 = 2,461.53/x
  3. Step 3: Cross multiply
    5,580.64x = 8,372.24 × 2,461.53
  4. Step 4: Simplify right side
    5,580.64x = 20,608,526.08
  5. Step 5: Solve for x
    x = 20,608,526.08/5,580.64
  6. Step 6: Final answer
    x = 3,692.86

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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.