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Finding the Fourth Proportional to 5,091.90, 7,639.05 and 1,629.18

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Solution

The fourth proportional to 5,091.90, 7,639.05 and 1,629.18 is: 2,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.90 : 7,639.05 = 1,629.18 : x
  2. Step 2: Convert to fraction form
    5,091.90/7,639.05 = 1,629.18/x
  3. Step 3: Cross multiply
    5,091.90x = 7,639.05 × 1,629.18
  4. Step 4: Simplify right side
    5,091.90x = 12,445,387.48
  5. Step 5: Solve for x
    x = 12,445,387.48/5,091.90
  6. Step 6: Final answer
    x = 2,444.15

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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.