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Finding the Fourth Proportional to 6,541.59, 9,812.40 and 2,648.73

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Solution

The fourth proportional to 6,541.59, 9,812.40 and 2,648.73 is: 3,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.59 : 9,812.40 = 2,648.73 : x
  2. Step 2: Convert to fraction form
    6,541.59/9,812.40 = 2,648.73/x
  3. Step 3: Cross multiply
    6,541.59x = 9,812.40 × 2,648.73
  4. Step 4: Simplify right side
    6,541.59x = 25,990,398.25
  5. Step 5: Solve for x
    x = 25,990,398.25/6,541.59
  6. Step 6: Final answer
    x = 3,973.10

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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.