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Finding the Fourth Proportional to 3,114.15, 4,671.21 and 2,565.18

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Solution

The fourth proportional to 3,114.15, 4,671.21 and 2,565.18 is: 3,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.15 : 4,671.21 = 2,565.18 : x
  2. Step 2: Convert to fraction form
    3,114.15/4,671.21 = 2,565.18/x
  3. Step 3: Cross multiply
    3,114.15x = 4,671.21 × 2,565.18
  4. Step 4: Simplify right side
    3,114.15x = 11,982,471.11
  5. Step 5: Solve for x
    x = 11,982,471.11/3,114.15
  6. Step 6: Final answer
    x = 3,847.75

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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.