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Finding the Fourth Proportional to 5,780.25, 8,673.66 and 5,733.27

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Solution

The fourth proportional to 5,780.25, 8,673.66 and 5,733.27 is: 8,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.25 : 8,673.66 = 5,733.27 : x
  2. Step 2: Convert to fraction form
    5,780.25/8,673.66 = 5,733.27/x
  3. Step 3: Cross multiply
    5,780.25x = 8,673.66 × 5,733.27
  4. Step 4: Simplify right side
    5,780.25x = 49,728,434.67
  5. Step 5: Solve for x
    x = 49,728,434.67/5,780.25
  6. Step 6: Final answer
    x = 8,603.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.