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Finding the Fourth Proportional to 5,299.65, 7,314.84 and 3,062.82

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Solution

The fourth proportional to 5,299.65, 7,314.84 and 3,062.82 is: 4,227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.65 : 7,314.84 = 3,062.82 : x
  2. Step 2: Convert to fraction form
    5,299.65/7,314.84 = 3,062.82/x
  3. Step 3: Cross multiply
    5,299.65x = 7,314.84 × 3,062.82
  4. Step 4: Simplify right side
    5,299.65x = 22,404,038.25
  5. Step 5: Solve for x
    x = 22,404,038.25/5,299.65
  6. Step 6: Final answer
    x = 4,227.46

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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.