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Finding the Fourth Proportional to 4,561.48, 6,842.42 and 1,787.90

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Solution

The fourth proportional to 4,561.48, 6,842.42 and 1,787.90 is: 2,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.48 : 6,842.42 = 1,787.90 : x
  2. Step 2: Convert to fraction form
    4,561.48/6,842.42 = 1,787.90/x
  3. Step 3: Cross multiply
    4,561.48x = 6,842.42 × 1,787.90
  4. Step 4: Simplify right side
    4,561.48x = 12,233,553.78
  5. Step 5: Solve for x
    x = 12,233,553.78/4,561.48
  6. Step 6: Final answer
    x = 2,681.93

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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.