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Finding the Fourth Proportional to 5,757.84, 8,567.64 and 5,738.40

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Solution

The fourth proportional to 5,757.84, 8,567.64 and 5,738.40 is: 8,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.84 : 8,567.64 = 5,738.40 : x
  2. Step 2: Convert to fraction form
    5,757.84/8,567.64 = 5,738.40/x
  3. Step 3: Cross multiply
    5,757.84x = 8,567.64 × 5,738.40
  4. Step 4: Simplify right side
    5,757.84x = 49,164,545.38
  5. Step 5: Solve for x
    x = 49,164,545.38/5,757.84
  6. Step 6: Final answer
    x = 8,538.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.