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Finding the Fourth Proportional to 5,301.33, 7,970.22 and 4,069.32

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Solution

The fourth proportional to 5,301.33, 7,970.22 and 4,069.32 is: 6,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.33 : 7,970.22 = 4,069.32 : x
  2. Step 2: Convert to fraction form
    5,301.33/7,970.22 = 4,069.32/x
  3. Step 3: Cross multiply
    5,301.33x = 7,970.22 × 4,069.32
  4. Step 4: Simplify right side
    5,301.33x = 32,433,375.65
  5. Step 5: Solve for x
    x = 32,433,375.65/5,301.33
  6. Step 6: Final answer
    x = 6,117.97

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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.