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Finding the Fourth Proportional to 5,124.80, 7,686.15 and 1,426.10

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Solution

The fourth proportional to 5,124.80, 7,686.15 and 1,426.10 is: 2,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.80 : 7,686.15 = 1,426.10 : x
  2. Step 2: Convert to fraction form
    5,124.80/7,686.15 = 1,426.10/x
  3. Step 3: Cross multiply
    5,124.80x = 7,686.15 × 1,426.10
  4. Step 4: Simplify right side
    5,124.80x = 10,961,218.52
  5. Step 5: Solve for x
    x = 10,961,218.52/5,124.80
  6. Step 6: Final answer
    x = 2,138.86

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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.