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Finding the Fourth Proportional to 4,981.49, 7,472.16 and 1,696.87

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Solution

The fourth proportional to 4,981.49, 7,472.16 and 1,696.87 is: 2,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.49 : 7,472.16 = 1,696.87 : x
  2. Step 2: Convert to fraction form
    4,981.49/7,472.16 = 1,696.87/x
  3. Step 3: Cross multiply
    4,981.49x = 7,472.16 × 1,696.87
  4. Step 4: Simplify right side
    4,981.49x = 12,679,284.14
  5. Step 5: Solve for x
    x = 12,679,284.14/4,981.49
  6. Step 6: Final answer
    x = 2,545.28

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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.