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Finding the Fourth Proportional to 4,221.68, 6,331.14 and 1,409.76

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Solution

The fourth proportional to 4,221.68, 6,331.14 and 1,409.76 is: 2,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.68 : 6,331.14 = 1,409.76 : x
  2. Step 2: Convert to fraction form
    4,221.68/6,331.14 = 1,409.76/x
  3. Step 3: Cross multiply
    4,221.68x = 6,331.14 × 1,409.76
  4. Step 4: Simplify right side
    4,221.68x = 8,925,387.93
  5. Step 5: Solve for x
    x = 8,925,387.93/4,221.68
  6. Step 6: Final answer
    x = 2,114.18

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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.