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Finding the Fourth Proportional to 4,296.40, 6,438.96 and 3,114.40

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Solution

The fourth proportional to 4,296.40, 6,438.96 and 3,114.40 is: 4,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.40 : 6,438.96 = 3,114.40 : x
  2. Step 2: Convert to fraction form
    4,296.40/6,438.96 = 3,114.40/x
  3. Step 3: Cross multiply
    4,296.40x = 6,438.96 × 3,114.40
  4. Step 4: Simplify right side
    4,296.40x = 20,053,497.02
  5. Step 5: Solve for x
    x = 20,053,497.02/4,296.40
  6. Step 6: Final answer
    x = 4,667.51

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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.