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Finding the Fourth Proportional to 4,409.68, 6,614.78 and 1,599.13

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Solution

The fourth proportional to 4,409.68, 6,614.78 and 1,599.13 is: 2,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.68 : 6,614.78 = 1,599.13 : x
  2. Step 2: Convert to fraction form
    4,409.68/6,614.78 = 1,599.13/x
  3. Step 3: Cross multiply
    4,409.68x = 6,614.78 × 1,599.13
  4. Step 4: Simplify right side
    4,409.68x = 10,577,893.14
  5. Step 5: Solve for x
    x = 10,577,893.14/4,409.68
  6. Step 6: Final answer
    x = 2,398.79

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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.