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Finding the Fourth Proportional to 4,158, 5,738.31 and 2,295

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Solution

The fourth proportional to 4,158, 5,738.31 and 2,295 is: 3,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158 : 5,738.31 = 2,295 : x
  2. Step 2: Convert to fraction form
    4,158/5,738.31 = 2,295/x
  3. Step 3: Cross multiply
    4,158x = 5,738.31 × 2,295
  4. Step 4: Simplify right side
    4,158x = 13,169,421.45
  5. Step 5: Solve for x
    x = 13,169,421.45/4,158
  6. Step 6: Final answer
    x = 3,167.25

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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.