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Finding the Fourth Proportional to 4,127, 6,191.46 and 1,391

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Solution

The fourth proportional to 4,127, 6,191.46 and 1,391 is: 2,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127 : 6,191.46 = 1,391 : x
  2. Step 2: Convert to fraction form
    4,127/6,191.46 = 1,391/x
  3. Step 3: Cross multiply
    4,127x = 6,191.46 × 1,391
  4. Step 4: Simplify right side
    4,127x = 8,612,320.86
  5. Step 5: Solve for x
    x = 8,612,320.86/4,127
  6. Step 6: Final answer
    x = 2,086.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.