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Finding the Fourth Proportional to 2,715.84, 3,747.42 and 1,536.57

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Solution

The fourth proportional to 2,715.84, 3,747.42 and 1,536.57 is: 2,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.84 : 3,747.42 = 1,536.57 : x
  2. Step 2: Convert to fraction form
    2,715.84/3,747.42 = 1,536.57/x
  3. Step 3: Cross multiply
    2,715.84x = 3,747.42 × 1,536.57
  4. Step 4: Simplify right side
    2,715.84x = 5,758,173.15
  5. Step 5: Solve for x
    x = 5,758,173.15/2,715.84
  6. Step 6: Final answer
    x = 2,120.22

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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.