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Finding the Fourth Proportional to 4,696.16, 7,048.56 and 2,968.16

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Solution

The fourth proportional to 4,696.16, 7,048.56 and 2,968.16 is: 4,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.16 : 7,048.56 = 2,968.16 : x
  2. Step 2: Convert to fraction form
    4,696.16/7,048.56 = 2,968.16/x
  3. Step 3: Cross multiply
    4,696.16x = 7,048.56 × 2,968.16
  4. Step 4: Simplify right side
    4,696.16x = 20,921,253.85
  5. Step 5: Solve for x
    x = 20,921,253.85/4,696.16
  6. Step 6: Final answer
    x = 4,454.97

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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.