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Finding the Fourth Proportional to 4,360.68, 6,542.14 and 1,282.68

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Solution

The fourth proportional to 4,360.68, 6,542.14 and 1,282.68 is: 1,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,360.68 : 6,542.14 = 1,282.68 : x
  2. Step 2: Convert to fraction form
    4,360.68/6,542.14 = 1,282.68/x
  3. Step 3: Cross multiply
    4,360.68x = 6,542.14 × 1,282.68
  4. Step 4: Simplify right side
    4,360.68x = 8,391,472.14
  5. Step 5: Solve for x
    x = 8,391,472.14/4,360.68
  6. Step 6: Final answer
    x = 1,924.35

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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.