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Finding the Fourth Proportional to 3,842.42, 5,763.62 and 2,543.60

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Solution

The fourth proportional to 3,842.42, 5,763.62 and 2,543.60 is: 3,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.42 : 5,763.62 = 2,543.60 : x
  2. Step 2: Convert to fraction form
    3,842.42/5,763.62 = 2,543.60/x
  3. Step 3: Cross multiply
    3,842.42x = 5,763.62 × 2,543.60
  4. Step 4: Simplify right side
    3,842.42x = 14,660,343.83
  5. Step 5: Solve for x
    x = 14,660,343.83/3,842.42
  6. Step 6: Final answer
    x = 3,815.39

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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.