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Finding the Fourth Proportional to 5,851.65, 8,760.17 and 3,765.50

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Solution

The fourth proportional to 5,851.65, 8,760.17 and 3,765.50 is: 5,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.65 : 8,760.17 = 3,765.50 : x
  2. Step 2: Convert to fraction form
    5,851.65/8,760.17 = 3,765.50/x
  3. Step 3: Cross multiply
    5,851.65x = 8,760.17 × 3,765.50
  4. Step 4: Simplify right side
    5,851.65x = 32,986,376.33
  5. Step 5: Solve for x
    x = 32,986,376.33/5,851.65
  6. Step 6: Final answer
    x = 5,637.11

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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.