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Finding the Fourth Proportional to 5,702.11, 7,867.51 and 3,343.79

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Solution

The fourth proportional to 5,702.11, 7,867.51 and 3,343.79 is: 4,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.11 : 7,867.51 = 3,343.79 : x
  2. Step 2: Convert to fraction form
    5,702.11/7,867.51 = 3,343.79/x
  3. Step 3: Cross multiply
    5,702.11x = 7,867.51 × 3,343.79
  4. Step 4: Simplify right side
    5,702.11x = 26,307,301.26
  5. Step 5: Solve for x
    x = 26,307,301.26/5,702.11
  6. Step 6: Final answer
    x = 4,613.61

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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.