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Finding the Fourth Proportional to 4,141.63, 5,715.37 and 2,253.18

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Solution

The fourth proportional to 4,141.63, 5,715.37 and 2,253.18 is: 3,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.63 : 5,715.37 = 2,253.18 : x
  2. Step 2: Convert to fraction form
    4,141.63/5,715.37 = 2,253.18/x
  3. Step 3: Cross multiply
    4,141.63x = 5,715.37 × 2,253.18
  4. Step 4: Simplify right side
    4,141.63x = 12,877,757.38
  5. Step 5: Solve for x
    x = 12,877,757.38/4,141.63
  6. Step 6: Final answer
    x = 3,109.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.