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Finding the Fourth Proportional to 2,715.57, 3,747.69 and 1,536.82

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Solution

The fourth proportional to 2,715.57, 3,747.69 and 1,536.82 is: 2,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.57 : 3,747.69 = 1,536.82 : x
  2. Step 2: Convert to fraction form
    2,715.57/3,747.69 = 1,536.82/x
  3. Step 3: Cross multiply
    2,715.57x = 3,747.69 × 1,536.82
  4. Step 4: Simplify right side
    2,715.57x = 5,759,515.58
  5. Step 5: Solve for x
    x = 5,759,515.58/2,715.57
  6. Step 6: Final answer
    x = 2,120.92

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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.