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Finding the Fourth Proportional to 3,588.08, 5,382.12 and 1,639.76

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Solution

The fourth proportional to 3,588.08, 5,382.12 and 1,639.76 is: 2,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.08 : 5,382.12 = 1,639.76 : x
  2. Step 2: Convert to fraction form
    3,588.08/5,382.12 = 1,639.76/x
  3. Step 3: Cross multiply
    3,588.08x = 5,382.12 × 1,639.76
  4. Step 4: Simplify right side
    3,588.08x = 8,825,385.09
  5. Step 5: Solve for x
    x = 8,825,385.09/3,588.08
  6. Step 6: Final answer
    x = 2,459.64

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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.