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Finding the Fourth Proportional to 5,114.34, 7,671.15 and 2,916.18

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Solution

The fourth proportional to 5,114.34, 7,671.15 and 2,916.18 is: 4,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.34 : 7,671.15 = 2,916.18 : x
  2. Step 2: Convert to fraction form
    5,114.34/7,671.15 = 2,916.18/x
  3. Step 3: Cross multiply
    5,114.34x = 7,671.15 × 2,916.18
  4. Step 4: Simplify right side
    5,114.34x = 22,370,454.21
  5. Step 5: Solve for x
    x = 22,370,454.21/5,114.34
  6. Step 6: Final answer
    x = 4,374.06

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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.