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Finding the Fourth Proportional to 5,757.13, 7,925.81 and 5,166.64

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Solution

The fourth proportional to 5,757.13, 7,925.81 and 5,166.64 is: 7,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.13 : 7,925.81 = 5,166.64 : x
  2. Step 2: Convert to fraction form
    5,757.13/7,925.81 = 5,166.64/x
  3. Step 3: Cross multiply
    5,757.13x = 7,925.81 × 5,166.64
  4. Step 4: Simplify right side
    5,757.13x = 40,949,806.98
  5. Step 5: Solve for x
    x = 40,949,806.98/5,757.13
  6. Step 6: Final answer
    x = 7,112.89

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1.5x scale

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.