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Finding the Fourth Proportional to 4,412.68, 6,619.01 and 3,439.50

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Solution

The fourth proportional to 4,412.68, 6,619.01 and 3,439.50 is: 5,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,412.68 : 6,619.01 = 3,439.50 : x
  2. Step 2: Convert to fraction form
    4,412.68/6,619.01 = 3,439.50/x
  3. Step 3: Cross multiply
    4,412.68x = 6,619.01 × 3,439.50
  4. Step 4: Simplify right side
    4,412.68x = 22,766,084.90
  5. Step 5: Solve for x
    x = 22,766,084.90/4,412.68
  6. Step 6: Final answer
    x = 5,159.24

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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.