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Finding the Fourth Proportional to 5,490.92, 7,568.60 and 4,293.78

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Solution

The fourth proportional to 5,490.92, 7,568.60 and 4,293.78 is: 5,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.92 : 7,568.60 = 4,293.78 : x
  2. Step 2: Convert to fraction form
    5,490.92/7,568.60 = 4,293.78/x
  3. Step 3: Cross multiply
    5,490.92x = 7,568.60 × 4,293.78
  4. Step 4: Simplify right side
    5,490.92x = 32,497,881.84
  5. Step 5: Solve for x
    x = 32,497,881.84/5,490.92
  6. Step 6: Final answer
    x = 5,918.48

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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.