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Finding the Fourth Proportional to 3,841.66, 5,762.49 and 1,244.53

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Solution

The fourth proportional to 3,841.66, 5,762.49 and 1,244.53 is: 1,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.66 : 5,762.49 = 1,244.53 : x
  2. Step 2: Convert to fraction form
    3,841.66/5,762.49 = 1,244.53/x
  3. Step 3: Cross multiply
    3,841.66x = 5,762.49 × 1,244.53
  4. Step 4: Simplify right side
    3,841.66x = 7,171,591.68
  5. Step 5: Solve for x
    x = 7,171,591.68/3,841.66
  6. Step 6: Final answer
    x = 1,866.80

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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.