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Finding the Fourth Proportional to 3,442.80, 5,167.40 and 2,956.40

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Solution

The fourth proportional to 3,442.80, 5,167.40 and 2,956.40 is: 4,437.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.80 : 5,167.40 = 2,956.40 : x
  2. Step 2: Convert to fraction form
    3,442.80/5,167.40 = 2,956.40/x
  3. Step 3: Cross multiply
    3,442.80x = 5,167.40 × 2,956.40
  4. Step 4: Simplify right side
    3,442.80x = 15,276,901.36
  5. Step 5: Solve for x
    x = 15,276,901.36/3,442.80
  6. Step 6: Final answer
    x = 4,437.35

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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.