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Finding the Fourth Proportional to 5,223.06, 7,824.78 and 4,704.66

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Solution

The fourth proportional to 5,223.06, 7,824.78 and 4,704.66 is: 7,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.06 : 7,824.78 = 4,704.66 : x
  2. Step 2: Convert to fraction form
    5,223.06/7,824.78 = 4,704.66/x
  3. Step 3: Cross multiply
    5,223.06x = 7,824.78 × 4,704.66
  4. Step 4: Simplify right side
    5,223.06x = 36,812,929.47
  5. Step 5: Solve for x
    x = 36,812,929.47/5,223.06
  6. Step 6: Final answer
    x = 7,048.15

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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.