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Finding the Fourth Proportional to 5,879.84, 8,827.57 and 3,416.42

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Solution

The fourth proportional to 5,879.84, 8,827.57 and 3,416.42 is: 5,129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.84 : 8,827.57 = 3,416.42 : x
  2. Step 2: Convert to fraction form
    5,879.84/8,827.57 = 3,416.42/x
  3. Step 3: Cross multiply
    5,879.84x = 8,827.57 × 3,416.42
  4. Step 4: Simplify right side
    5,879.84x = 30,158,713.04
  5. Step 5: Solve for x
    x = 30,158,713.04/5,879.84
  6. Step 6: Final answer
    x = 5,129.18

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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.