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Finding the Fourth Proportional to 5,764.19, 7,949.26 and 4,275.82

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Solution

The fourth proportional to 5,764.19, 7,949.26 and 4,275.82 is: 5,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.19 : 7,949.26 = 4,275.82 : x
  2. Step 2: Convert to fraction form
    5,764.19/7,949.26 = 4,275.82/x
  3. Step 3: Cross multiply
    5,764.19x = 7,949.26 × 4,275.82
  4. Step 4: Simplify right side
    5,764.19x = 33,989,590.36
  5. Step 5: Solve for x
    x = 33,989,590.36/5,764.19
  6. Step 6: Final answer
    x = 5,896.68

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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.