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Finding the Fourth Proportional to 4,696.65, 7,046.30 and 2,353.84

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Solution

The fourth proportional to 4,696.65, 7,046.30 and 2,353.84 is: 3,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.65 : 7,046.30 = 2,353.84 : x
  2. Step 2: Convert to fraction form
    4,696.65/7,046.30 = 2,353.84/x
  3. Step 3: Cross multiply
    4,696.65x = 7,046.30 × 2,353.84
  4. Step 4: Simplify right side
    4,696.65x = 16,585,851.06
  5. Step 5: Solve for x
    x = 16,585,851.06/4,696.65
  6. Step 6: Final answer
    x = 3,531.42

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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.