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Finding the Fourth Proportional to 4,922.55, 7,375.47 and 2,970.66

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Solution

The fourth proportional to 4,922.55, 7,375.47 and 2,970.66 is: 4,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.55 : 7,375.47 = 2,970.66 : x
  2. Step 2: Convert to fraction form
    4,922.55/7,375.47 = 2,970.66/x
  3. Step 3: Cross multiply
    4,922.55x = 7,375.47 × 2,970.66
  4. Step 4: Simplify right side
    4,922.55x = 21,910,013.71
  5. Step 5: Solve for x
    x = 21,910,013.71/4,922.55
  6. Step 6: Final answer
    x = 4,450.95

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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.