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Finding the Fourth Proportional to 5,639.65, 7,780.11 and 3,650.85

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Solution

The fourth proportional to 5,639.65, 7,780.11 and 3,650.85 is: 5,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.65 : 7,780.11 = 3,650.85 : x
  2. Step 2: Convert to fraction form
    5,639.65/7,780.11 = 3,650.85/x
  3. Step 3: Cross multiply
    5,639.65x = 7,780.11 × 3,650.85
  4. Step 4: Simplify right side
    5,639.65x = 28,404,014.59
  5. Step 5: Solve for x
    x = 28,404,014.59/5,639.65
  6. Step 6: Final answer
    x = 5,036.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.