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Finding the Fourth Proportional to 3,779.66, 5,665.35 and 3,230.17

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Solution

The fourth proportional to 3,779.66, 5,665.35 and 3,230.17 is: 4,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.66 : 5,665.35 = 3,230.17 : x
  2. Step 2: Convert to fraction form
    3,779.66/5,665.35 = 3,230.17/x
  3. Step 3: Cross multiply
    3,779.66x = 5,665.35 × 3,230.17
  4. Step 4: Simplify right side
    3,779.66x = 18,300,043.61
  5. Step 5: Solve for x
    x = 18,300,043.61/3,779.66
  6. Step 6: Final answer
    x = 4,841.72

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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.