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Finding the Fourth Proportional to 5,223.52, 7,208.16 and 2,865.24

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Solution

The fourth proportional to 5,223.52, 7,208.16 and 2,865.24 is: 3,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.52 : 7,208.16 = 2,865.24 : x
  2. Step 2: Convert to fraction form
    5,223.52/7,208.16 = 2,865.24/x
  3. Step 3: Cross multiply
    5,223.52x = 7,208.16 × 2,865.24
  4. Step 4: Simplify right side
    5,223.52x = 20,653,108.36
  5. Step 5: Solve for x
    x = 20,653,108.36/5,223.52
  6. Step 6: Final answer
    x = 3,953.87

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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.