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Finding the Fourth Proportional to 3,841.77, 5,763.56 and 1,244.70

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Solution

The fourth proportional to 3,841.77, 5,763.56 and 1,244.70 is: 1,867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.77 : 5,763.56 = 1,244.70 : x
  2. Step 2: Convert to fraction form
    3,841.77/5,763.56 = 1,244.70/x
  3. Step 3: Cross multiply
    3,841.77x = 5,763.56 × 1,244.70
  4. Step 4: Simplify right side
    3,841.77x = 7,173,903.13
  5. Step 5: Solve for x
    x = 7,173,903.13/3,841.77
  6. Step 6: Final answer
    x = 1,867.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.