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Finding the Fourth Proportional to 5,539.60, 7,642.22 and 3,648.76

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Solution

The fourth proportional to 5,539.60, 7,642.22 and 3,648.76 is: 5,033.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.60 : 7,642.22 = 3,648.76 : x
  2. Step 2: Convert to fraction form
    5,539.60/7,642.22 = 3,648.76/x
  3. Step 3: Cross multiply
    5,539.60x = 7,642.22 × 3,648.76
  4. Step 4: Simplify right side
    5,539.60x = 27,884,626.65
  5. Step 5: Solve for x
    x = 27,884,626.65/5,539.60
  6. Step 6: Final answer
    x = 5,033.69

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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.