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Finding the Fourth Proportional to 5,701.82, 7,868.57 and 3,344.00

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Solution

The fourth proportional to 5,701.82, 7,868.57 and 3,344.00 is: 4,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.82 : 7,868.57 = 3,344.00 : x
  2. Step 2: Convert to fraction form
    5,701.82/7,868.57 = 3,344.00/x
  3. Step 3: Cross multiply
    5,701.82x = 7,868.57 × 3,344.00
  4. Step 4: Simplify right side
    5,701.82x = 26,312,442.02
  5. Step 5: Solve for x
    x = 26,312,442.02/5,701.82
  6. Step 6: Final answer
    x = 4,614.75

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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.