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Finding the Fourth Proportional to 3,842.94, 5,766.03 and 2,285.93

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Solution

The fourth proportional to 3,842.94, 5,766.03 and 2,285.93 is: 3,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.94 : 5,766.03 = 2,285.93 : x
  2. Step 2: Convert to fraction form
    3,842.94/5,766.03 = 2,285.93/x
  3. Step 3: Cross multiply
    3,842.94x = 5,766.03 × 2,285.93
  4. Step 4: Simplify right side
    3,842.94x = 13,180,712.13
  5. Step 5: Solve for x
    x = 13,180,712.13/3,842.94
  6. Step 6: Final answer
    x = 3,429.85

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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.