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Finding the Fourth Proportional to 3,767.80, 5,199.70 and 2,275.42

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Solution

The fourth proportional to 3,767.80, 5,199.70 and 2,275.42 is: 3,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.80 : 5,199.70 = 2,275.42 : x
  2. Step 2: Convert to fraction form
    3,767.80/5,199.70 = 2,275.42/x
  3. Step 3: Cross multiply
    3,767.80x = 5,199.70 × 2,275.42
  4. Step 4: Simplify right side
    3,767.80x = 11,831,501.37
  5. Step 5: Solve for x
    x = 11,831,501.37/3,767.80
  6. Step 6: Final answer
    x = 3,140.16

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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.