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Finding the Fourth Proportional to 5,741.82, 7,926.66 and 3,384.72

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Solution

The fourth proportional to 5,741.82, 7,926.66 and 3,384.72 is: 4,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.82 : 7,926.66 = 3,384.72 : x
  2. Step 2: Convert to fraction form
    5,741.82/7,926.66 = 3,384.72/x
  3. Step 3: Cross multiply
    5,741.82x = 7,926.66 × 3,384.72
  4. Step 4: Simplify right side
    5,741.82x = 26,829,524.64
  5. Step 5: Solve for x
    x = 26,829,524.64/5,741.82
  6. Step 6: Final answer
    x = 4,672.65

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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.