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Finding the Fourth Proportional to 5,223.99, 7,864.49 and 4,764.72

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Solution

The fourth proportional to 5,223.99, 7,864.49 and 4,764.72 is: 7,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.99 : 7,864.49 = 4,764.72 : x
  2. Step 2: Convert to fraction form
    5,223.99/7,864.49 = 4,764.72/x
  3. Step 3: Cross multiply
    5,223.99x = 7,864.49 × 4,764.72
  4. Step 4: Simplify right side
    5,223.99x = 37,472,134.20
  5. Step 5: Solve for x
    x = 37,472,134.20/5,223.99
  6. Step 6: Final answer
    x = 7,173.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.