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Finding the Fourth Proportional to 4,972.64, 7,453.49 and 4,425.89

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Solution

The fourth proportional to 4,972.64, 7,453.49 and 4,425.89 is: 6,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.64 : 7,453.49 = 4,425.89 : x
  2. Step 2: Convert to fraction form
    4,972.64/7,453.49 = 4,425.89/x
  3. Step 3: Cross multiply
    4,972.64x = 7,453.49 × 4,425.89
  4. Step 4: Simplify right side
    4,972.64x = 32,988,267.46
  5. Step 5: Solve for x
    x = 32,988,267.46/4,972.64
  6. Step 6: Final answer
    x = 6,633.96

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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.