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Finding the Fourth Proportional to 3,720.32, 5,580.63 and 1,639.85

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Solution

The fourth proportional to 3,720.32, 5,580.63 and 1,639.85 is: 2,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.32 : 5,580.63 = 1,639.85 : x
  2. Step 2: Convert to fraction form
    3,720.32/5,580.63 = 1,639.85/x
  3. Step 3: Cross multiply
    3,720.32x = 5,580.63 × 1,639.85
  4. Step 4: Simplify right side
    3,720.32x = 9,151,375.12
  5. Step 5: Solve for x
    x = 9,151,375.12/3,720.32
  6. Step 6: Final answer
    x = 2,459.84

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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.