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Finding the Fourth Proportional to 4,169, 5,753.40 and 2,306

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Solution

The fourth proportional to 4,169, 5,753.40 and 2,306 is: 3,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169 : 5,753.40 = 2,306 : x
  2. Step 2: Convert to fraction form
    4,169/5,753.40 = 2,306/x
  3. Step 3: Cross multiply
    4,169x = 5,753.40 × 2,306
  4. Step 4: Simplify right side
    4,169x = 13,267,340.40
  5. Step 5: Solve for x
    x = 13,267,340.40/4,169
  6. Step 6: Final answer
    x = 3,182.38

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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.