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Finding the Fourth Proportional to 3,374.10, 4,671.81 and 3,114.90

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Solution

The fourth proportional to 3,374.10, 4,671.81 and 3,114.90 is: 4,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.10 : 4,671.81 = 3,114.90 : x
  2. Step 2: Convert to fraction form
    3,374.10/4,671.81 = 3,114.90/x
  3. Step 3: Cross multiply
    3,374.10x = 4,671.81 × 3,114.90
  4. Step 4: Simplify right side
    3,374.10x = 14,552,220.97
  5. Step 5: Solve for x
    x = 14,552,220.97/3,374.10
  6. Step 6: Final answer
    x = 4,312.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.