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Finding the Fourth Proportional to 5,545.80, 7,648.02 and 4,132.98

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Solution

The fourth proportional to 5,545.80, 7,648.02 and 4,132.98 is: 5,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.80 : 7,648.02 = 4,132.98 : x
  2. Step 2: Convert to fraction form
    5,545.80/7,648.02 = 4,132.98/x
  3. Step 3: Cross multiply
    5,545.80x = 7,648.02 × 4,132.98
  4. Step 4: Simplify right side
    5,545.80x = 31,609,113.70
  5. Step 5: Solve for x
    x = 31,609,113.70/5,545.80
  6. Step 6: Final answer
    x = 5,699.65

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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.