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Finding the Fourth Proportional to 3,445.68, 5,164.42 and 2,400.02

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Solution

The fourth proportional to 3,445.68, 5,164.42 and 2,400.02 is: 3,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.68 : 5,164.42 = 2,400.02 : x
  2. Step 2: Convert to fraction form
    3,445.68/5,164.42 = 2,400.02/x
  3. Step 3: Cross multiply
    3,445.68x = 5,164.42 × 2,400.02
  4. Step 4: Simplify right side
    3,445.68x = 12,394,698.83
  5. Step 5: Solve for x
    x = 12,394,698.83/3,445.68
  6. Step 6: Final answer
    x = 3,597.17

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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.