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Finding the Fourth Proportional to 3,443.40, 5,166.12 and 1,468.02

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Solution

The fourth proportional to 3,443.40, 5,166.12 and 1,468.02 is: 2,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.40 : 5,166.12 = 1,468.02 : x
  2. Step 2: Convert to fraction form
    3,443.40/5,166.12 = 1,468.02/x
  3. Step 3: Cross multiply
    3,443.40x = 5,166.12 × 1,468.02
  4. Step 4: Simplify right side
    3,443.40x = 7,583,967.48
  5. Step 5: Solve for x
    x = 7,583,967.48/3,443.40
  6. Step 6: Final answer
    x = 2,202.46

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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.