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Finding the Fourth Proportional to 4,983.12, 7,472.59 and 1,696.41

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Solution

The fourth proportional to 4,983.12, 7,472.59 and 1,696.41 is: 2,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.12 : 7,472.59 = 1,696.41 : x
  2. Step 2: Convert to fraction form
    4,983.12/7,472.59 = 1,696.41/x
  3. Step 3: Cross multiply
    4,983.12x = 7,472.59 × 1,696.41
  4. Step 4: Simplify right side
    4,983.12x = 12,676,572.16
  5. Step 5: Solve for x
    x = 12,676,572.16/4,983.12
  6. Step 6: Final answer
    x = 2,543.90

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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.