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Finding the Fourth Proportional to 5,895.33, 8,828.40 and 3,422.65

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Solution

The fourth proportional to 5,895.33, 8,828.40 and 3,422.65 is: 5,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.33 : 8,828.40 = 3,422.65 : x
  2. Step 2: Convert to fraction form
    5,895.33/8,828.40 = 3,422.65/x
  3. Step 3: Cross multiply
    5,895.33x = 8,828.40 × 3,422.65
  4. Step 4: Simplify right side
    5,895.33x = 30,216,523.26
  5. Step 5: Solve for x
    x = 30,216,523.26/5,895.33
  6. Step 6: Final answer
    x = 5,125.50

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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.