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Finding the Fourth Proportional to 5,757.24, 7,945.38 and 4,973.16

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Solution

The fourth proportional to 5,757.24, 7,945.38 and 4,973.16 is: 6,863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.24 : 7,945.38 = 4,973.16 : x
  2. Step 2: Convert to fraction form
    5,757.24/7,945.38 = 4,973.16/x
  3. Step 3: Cross multiply
    5,757.24x = 7,945.38 × 4,973.16
  4. Step 4: Simplify right side
    5,757.24x = 39,513,646.00
  5. Step 5: Solve for x
    x = 39,513,646.00/5,757.24
  6. Step 6: Final answer
    x = 6,863.30

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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.