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Finding the Fourth Proportional to 5,696.16, 7,864.26 and 4,367.31

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Solution

The fourth proportional to 5,696.16, 7,864.26 and 4,367.31 is: 6,029.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.16 : 7,864.26 = 4,367.31 : x
  2. Step 2: Convert to fraction form
    5,696.16/7,864.26 = 4,367.31/x
  3. Step 3: Cross multiply
    5,696.16x = 7,864.26 × 4,367.31
  4. Step 4: Simplify right side
    5,696.16x = 34,345,600.18
  5. Step 5: Solve for x
    x = 34,345,600.18/5,696.16
  6. Step 6: Final answer
    x = 6,029.61

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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.