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Finding the Fourth Proportional to 4,286.88, 5,916.72 and 2,715.36

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Solution

The fourth proportional to 4,286.88, 5,916.72 and 2,715.36 is: 3,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.88 : 5,916.72 = 2,715.36 : x
  2. Step 2: Convert to fraction form
    4,286.88/5,916.72 = 2,715.36/x
  3. Step 3: Cross multiply
    4,286.88x = 5,916.72 × 2,715.36
  4. Step 4: Simplify right side
    4,286.88x = 16,066,024.82
  5. Step 5: Solve for x
    x = 16,066,024.82/4,286.88
  6. Step 6: Final answer
    x = 3,747.72

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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.