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Finding the Fourth Proportional to 5,786.29, 8,670.35 and 4,473.26

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Solution

The fourth proportional to 5,786.29, 8,670.35 and 4,473.26 is: 6,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.29 : 8,670.35 = 4,473.26 : x
  2. Step 2: Convert to fraction form
    5,786.29/8,670.35 = 4,473.26/x
  3. Step 3: Cross multiply
    5,786.29x = 8,670.35 × 4,473.26
  4. Step 4: Simplify right side
    5,786.29x = 38,784,729.84
  5. Step 5: Solve for x
    x = 38,784,729.84/5,786.29
  6. Step 6: Final answer
    x = 6,702.87

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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.