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Finding the Fourth Proportional to 5,762.69, 8,642.11 and 2,251.78

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Solution

The fourth proportional to 5,762.69, 8,642.11 and 2,251.78 is: 3,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.69 : 8,642.11 = 2,251.78 : x
  2. Step 2: Convert to fraction form
    5,762.69/8,642.11 = 2,251.78/x
  3. Step 3: Cross multiply
    5,762.69x = 8,642.11 × 2,251.78
  4. Step 4: Simplify right side
    5,762.69x = 19,460,124.83
  5. Step 5: Solve for x
    x = 19,460,124.83/5,762.69
  6. Step 6: Final answer
    x = 3,376.92

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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.