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Finding the Fourth Proportional to 5,532.36, 7,642.11 and 5,138.70

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Solution

The fourth proportional to 5,532.36, 7,642.11 and 5,138.70 is: 7,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.36 : 7,642.11 = 5,138.70 : x
  2. Step 2: Convert to fraction form
    5,532.36/7,642.11 = 5,138.70/x
  3. Step 3: Cross multiply
    5,532.36x = 7,642.11 × 5,138.70
  4. Step 4: Simplify right side
    5,532.36x = 39,270,510.66
  5. Step 5: Solve for x
    x = 39,270,510.66/5,532.36
  6. Step 6: Final answer
    x = 7,098.33

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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.