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Finding the Fourth Proportional to 5,881.99, 8,815.20 and 4,314.65

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Solution

The fourth proportional to 5,881.99, 8,815.20 and 4,314.65 is: 6,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.99 : 8,815.20 = 4,314.65 : x
  2. Step 2: Convert to fraction form
    5,881.99/8,815.20 = 4,314.65/x
  3. Step 3: Cross multiply
    5,881.99x = 8,815.20 × 4,314.65
  4. Step 4: Simplify right side
    5,881.99x = 38,034,514.16
  5. Step 5: Solve for x
    x = 38,034,514.16/5,881.99
  6. Step 6: Final answer
    x = 6,466.27

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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.