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Finding the Fourth Proportional to 3,767.85, 5,199.50 and 2,275.63

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Solution

The fourth proportional to 3,767.85, 5,199.50 and 2,275.63 is: 3,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.85 : 5,199.50 = 2,275.63 : x
  2. Step 2: Convert to fraction form
    3,767.85/5,199.50 = 2,275.63/x
  3. Step 3: Cross multiply
    3,767.85x = 5,199.50 × 2,275.63
  4. Step 4: Simplify right side
    3,767.85x = 11,832,138.19
  5. Step 5: Solve for x
    x = 11,832,138.19/3,767.85
  6. Step 6: Final answer
    x = 3,140.29

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