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Finding the Fourth Proportional to 3,417.13, 5,124.76 and 1,468.88

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Solution

The fourth proportional to 3,417.13, 5,124.76 and 1,468.88 is: 2,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.13 : 5,124.76 = 1,468.88 : x
  2. Step 2: Convert to fraction form
    3,417.13/5,124.76 = 1,468.88/x
  3. Step 3: Cross multiply
    3,417.13x = 5,124.76 × 1,468.88
  4. Step 4: Simplify right side
    3,417.13x = 7,527,657.47
  5. Step 5: Solve for x
    x = 7,527,657.47/3,417.13
  6. Step 6: Final answer
    x = 2,202.92

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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.