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Finding the Fourth Proportional to 3,895.57, 5,376.51 and 2,302.24

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Solution

The fourth proportional to 3,895.57, 5,376.51 and 2,302.24 is: 3,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.57 : 5,376.51 = 2,302.24 : x
  2. Step 2: Convert to fraction form
    3,895.57/5,376.51 = 2,302.24/x
  3. Step 3: Cross multiply
    3,895.57x = 5,376.51 × 2,302.24
  4. Step 4: Simplify right side
    3,895.57x = 12,378,016.38
  5. Step 5: Solve for x
    x = 12,378,016.38/3,895.57
  6. Step 6: Final answer
    x = 3,177.46

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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.