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Finding the Fourth Proportional to 4,981.74, 7,472.53 and 1,697.12

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Solution

The fourth proportional to 4,981.74, 7,472.53 and 1,697.12 is: 2,545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.74 : 7,472.53 = 1,697.12 : x
  2. Step 2: Convert to fraction form
    4,981.74/7,472.53 = 1,697.12/x
  3. Step 3: Cross multiply
    4,981.74x = 7,472.53 × 1,697.12
  4. Step 4: Simplify right side
    4,981.74x = 12,681,780.11
  5. Step 5: Solve for x
    x = 12,681,780.11/4,981.74
  6. Step 6: Final answer
    x = 2,545.65

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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.