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Finding the Fourth Proportional to 5,243.66, 7,866.80 and 1,545.88

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Solution

The fourth proportional to 5,243.66, 7,866.80 and 1,545.88 is: 2,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.66 : 7,866.80 = 1,545.88 : x
  2. Step 2: Convert to fraction form
    5,243.66/7,866.80 = 1,545.88/x
  3. Step 3: Cross multiply
    5,243.66x = 7,866.80 × 1,545.88
  4. Step 4: Simplify right side
    5,243.66x = 12,161,128.78
  5. Step 5: Solve for x
    x = 12,161,128.78/5,243.66
  6. Step 6: Final answer
    x = 2,319.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.