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Finding the Fourth Proportional to 6,034.68, 8,327.43 and 3,381.66

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Solution

The fourth proportional to 6,034.68, 8,327.43 and 3,381.66 is: 4,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.68 : 8,327.43 = 3,381.66 : x
  2. Step 2: Convert to fraction form
    6,034.68/8,327.43 = 3,381.66/x
  3. Step 3: Cross multiply
    6,034.68x = 8,327.43 × 3,381.66
  4. Step 4: Simplify right side
    6,034.68x = 28,160,536.93
  5. Step 5: Solve for x
    x = 28,160,536.93/6,034.68
  6. Step 6: Final answer
    x = 4,666.45

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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.