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Finding the Fourth Proportional to 4,816.65, 7,223.40 and 1,696.13

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Solution

The fourth proportional to 4,816.65, 7,223.40 and 1,696.13 is: 2,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.65 : 7,223.40 = 1,696.13 : x
  2. Step 2: Convert to fraction form
    4,816.65/7,223.40 = 1,696.13/x
  3. Step 3: Cross multiply
    4,816.65x = 7,223.40 × 1,696.13
  4. Step 4: Simplify right side
    4,816.65x = 12,251,789.33
  5. Step 5: Solve for x
    x = 12,251,789.33/4,816.65
  6. Step 6: Final answer
    x = 2,543.63

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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.