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Finding the Fourth Proportional to 5,726.82, 8,588.82 and 1,566.84

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Solution

The fourth proportional to 5,726.82, 8,588.82 and 1,566.84 is: 2,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.82 : 8,588.82 = 1,566.84 : x
  2. Step 2: Convert to fraction form
    5,726.82/8,588.82 = 1,566.84/x
  3. Step 3: Cross multiply
    5,726.82x = 8,588.82 × 1,566.84
  4. Step 4: Simplify right side
    5,726.82x = 13,457,306.73
  5. Step 5: Solve for x
    x = 13,457,306.73/5,726.82
  6. Step 6: Final answer
    x = 2,349.87

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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.