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Finding the Fourth Proportional to 3,381.86, 4,662.74 and 2,586.17

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Solution

The fourth proportional to 3,381.86, 4,662.74 and 2,586.17 is: 3,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.86 : 4,662.74 = 2,586.17 : x
  2. Step 2: Convert to fraction form
    3,381.86/4,662.74 = 2,586.17/x
  3. Step 3: Cross multiply
    3,381.86x = 4,662.74 × 2,586.17
  4. Step 4: Simplify right side
    3,381.86x = 12,058,602.06
  5. Step 5: Solve for x
    x = 12,058,602.06/3,381.86
  6. Step 6: Final answer
    x = 3,565.68

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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.