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Finding the Fourth Proportional to 3,426.99, 5,132.68 and 2,681.95

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Solution

The fourth proportional to 3,426.99, 5,132.68 and 2,681.95 is: 4,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.99 : 5,132.68 = 2,681.95 : x
  2. Step 2: Convert to fraction form
    3,426.99/5,132.68 = 2,681.95/x
  3. Step 3: Cross multiply
    3,426.99x = 5,132.68 × 2,681.95
  4. Step 4: Simplify right side
    3,426.99x = 13,765,599.42
  5. Step 5: Solve for x
    x = 13,765,599.42/3,426.99
  6. Step 6: Final answer
    x = 4,016.82

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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.