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Finding the Fourth Proportional to 5,732.76, 8,588.06 and 3,779.08

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Solution

The fourth proportional to 5,732.76, 8,588.06 and 3,779.08 is: 5,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.76 : 8,588.06 = 3,779.08 : x
  2. Step 2: Convert to fraction form
    5,732.76/8,588.06 = 3,779.08/x
  3. Step 3: Cross multiply
    5,732.76x = 8,588.06 × 3,779.08
  4. Step 4: Simplify right side
    5,732.76x = 32,454,965.78
  5. Step 5: Solve for x
    x = 32,454,965.78/5,732.76
  6. Step 6: Final answer
    x = 5,661.32

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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.