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Finding the Fourth Proportional to 3,842.55, 5,762.94 and 1,502.61

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Solution

The fourth proportional to 3,842.55, 5,762.94 and 1,502.61 is: 2,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.55 : 5,762.94 = 1,502.61 : x
  2. Step 2: Convert to fraction form
    3,842.55/5,762.94 = 1,502.61/x
  3. Step 3: Cross multiply
    3,842.55x = 5,762.94 × 1,502.61
  4. Step 4: Simplify right side
    3,842.55x = 8,659,451.27
  5. Step 5: Solve for x
    x = 8,659,451.27/3,842.55
  6. Step 6: Final answer
    x = 2,253.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.