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Finding the Fourth Proportional to 5,772.96, 7,963.38 and 5,384.16

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Solution

The fourth proportional to 5,772.96, 7,963.38 and 5,384.16 is: 7,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.96 : 7,963.38 = 5,384.16 : x
  2. Step 2: Convert to fraction form
    5,772.96/7,963.38 = 5,384.16/x
  3. Step 3: Cross multiply
    5,772.96x = 7,963.38 × 5,384.16
  4. Step 4: Simplify right side
    5,772.96x = 42,876,112.06
  5. Step 5: Solve for x
    x = 42,876,112.06/5,772.96
  6. Step 6: Final answer
    x = 7,427.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.