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Finding the Fourth Proportional to 4,600.74, 6,348.90 and 2,686.92

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Solution

The fourth proportional to 4,600.74, 6,348.90 and 2,686.92 is: 3,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.74 : 6,348.90 = 2,686.92 : x
  2. Step 2: Convert to fraction form
    4,600.74/6,348.90 = 2,686.92/x
  3. Step 3: Cross multiply
    4,600.74x = 6,348.90 × 2,686.92
  4. Step 4: Simplify right side
    4,600.74x = 17,058,986.39
  5. Step 5: Solve for x
    x = 17,058,986.39/4,600.74
  6. Step 6: Final answer
    x = 3,707.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.