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Finding the Fourth Proportional to 3,244.74, 4,478.14 and 1,847.22

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Solution

The fourth proportional to 3,244.74, 4,478.14 and 1,847.22 is: 2,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.74 : 4,478.14 = 1,847.22 : x
  2. Step 2: Convert to fraction form
    3,244.74/4,478.14 = 1,847.22/x
  3. Step 3: Cross multiply
    3,244.74x = 4,478.14 × 1,847.22
  4. Step 4: Simplify right side
    3,244.74x = 8,272,109.77
  5. Step 5: Solve for x
    x = 8,272,109.77/3,244.74
  6. Step 6: Final answer
    x = 2,549.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.