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Finding the Fourth Proportional to 5,641.65, 7,782.87 and 3,652.85

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Solution

The fourth proportional to 5,641.65, 7,782.87 and 3,652.85 is: 5,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.65 : 7,782.87 = 3,652.85 : x
  2. Step 2: Convert to fraction form
    5,641.65/7,782.87 = 3,652.85/x
  3. Step 3: Cross multiply
    5,641.65x = 7,782.87 × 3,652.85
  4. Step 4: Simplify right side
    5,641.65x = 28,429,656.68
  5. Step 5: Solve for x
    x = 28,429,656.68/5,641.65
  6. Step 6: Final answer
    x = 5,039.25

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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.