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Finding the Fourth Proportional to 3,802.41, 5,704.92 and 1,582.44

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Solution

The fourth proportional to 3,802.41, 5,704.92 and 1,582.44 is: 2,374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.41 : 5,704.92 = 1,582.44 : x
  2. Step 2: Convert to fraction form
    3,802.41/5,704.92 = 1,582.44/x
  3. Step 3: Cross multiply
    3,802.41x = 5,704.92 × 1,582.44
  4. Step 4: Simplify right side
    3,802.41x = 9,027,672.21
  5. Step 5: Solve for x
    x = 9,027,672.21/3,802.41
  6. Step 6: Final answer
    x = 2,374.20

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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.