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Finding the Fourth Proportional to 4,696.71, 7,046.40 and 2,353.89

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Solution

The fourth proportional to 4,696.71, 7,046.40 and 2,353.89 is: 3,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.71 : 7,046.40 = 2,353.89 : x
  2. Step 2: Convert to fraction form
    4,696.71/7,046.40 = 2,353.89/x
  3. Step 3: Cross multiply
    4,696.71x = 7,046.40 × 2,353.89
  4. Step 4: Simplify right side
    4,696.71x = 16,586,450.50
  5. Step 5: Solve for x
    x = 16,586,450.50/4,696.71
  6. Step 6: Final answer
    x = 3,531.50

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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.