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Finding the Fourth Proportional to 3,757.42, 5,184.07 and 2,265.81

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Solution

The fourth proportional to 3,757.42, 5,184.07 and 2,265.81 is: 3,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.42 : 5,184.07 = 2,265.81 : x
  2. Step 2: Convert to fraction form
    3,757.42/5,184.07 = 2,265.81/x
  3. Step 3: Cross multiply
    3,757.42x = 5,184.07 × 2,265.81
  4. Step 4: Simplify right side
    3,757.42x = 11,746,117.65
  5. Step 5: Solve for x
    x = 11,746,117.65/3,757.42
  6. Step 6: Final answer
    x = 3,126.11

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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.