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Finding the Fourth Proportional to 5,806.30, 8,001.75 and 5,719.90

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Solution

The fourth proportional to 5,806.30, 8,001.75 and 5,719.90 is: 7,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.30 : 8,001.75 = 5,719.90 : x
  2. Step 2: Convert to fraction form
    5,806.30/8,001.75 = 5,719.90/x
  3. Step 3: Cross multiply
    5,806.30x = 8,001.75 × 5,719.90
  4. Step 4: Simplify right side
    5,806.30x = 45,769,209.83
  5. Step 5: Solve for x
    x = 45,769,209.83/5,806.30
  6. Step 6: Final answer
    x = 7,882.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.