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Finding the Fourth Proportional to 4,981.24, 7,474.62 and 4,197.58

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Solution

The fourth proportional to 4,981.24, 7,474.62 and 4,197.58 is: 6,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.24 : 7,474.62 = 4,197.58 : x
  2. Step 2: Convert to fraction form
    4,981.24/7,474.62 = 4,197.58/x
  3. Step 3: Cross multiply
    4,981.24x = 7,474.62 × 4,197.58
  4. Step 4: Simplify right side
    4,981.24x = 31,375,315.42
  5. Step 5: Solve for x
    x = 31,375,315.42/4,981.24
  6. Step 6: Final answer
    x = 6,298.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.