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Finding the Fourth Proportional to 4,127, 5,695.26 and 2,471

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Solution

The fourth proportional to 4,127, 5,695.26 and 2,471 is: 3,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127 : 5,695.26 = 2,471 : x
  2. Step 2: Convert to fraction form
    4,127/5,695.26 = 2,471/x
  3. Step 3: Cross multiply
    4,127x = 5,695.26 × 2,471
  4. Step 4: Simplify right side
    4,127x = 14,072,987.46
  5. Step 5: Solve for x
    x = 14,072,987.46/4,127
  6. Step 6: Final answer
    x = 3,409.98

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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.