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Finding the Fourth Proportional to 5,223.32, 7,208.18 and 2,865.46

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Solution

The fourth proportional to 5,223.32, 7,208.18 and 2,865.46 is: 3,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.32 : 7,208.18 = 2,865.46 : x
  2. Step 2: Convert to fraction form
    5,223.32/7,208.18 = 2,865.46/x
  3. Step 3: Cross multiply
    5,223.32x = 7,208.18 × 2,865.46
  4. Step 4: Simplify right side
    5,223.32x = 20,654,751.46
  5. Step 5: Solve for x
    x = 20,654,751.46/5,223.32
  6. Step 6: Final answer
    x = 3,954.33

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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.