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Finding the Fourth Proportional to 4,983.53, 7,476.57 and 1,696.82

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Solution

The fourth proportional to 4,983.53, 7,476.57 and 1,696.82 is: 2,545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.53 : 7,476.57 = 1,696.82 : x
  2. Step 2: Convert to fraction form
    4,983.53/7,476.57 = 1,696.82/x
  3. Step 3: Cross multiply
    4,983.53x = 7,476.57 × 1,696.82
  4. Step 4: Simplify right side
    4,983.53x = 12,686,356.12
  5. Step 5: Solve for x
    x = 12,686,356.12/4,983.53
  6. Step 6: Final answer
    x = 2,545.66

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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.