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Finding the Fourth Proportional to 4,696.32, 6,479.76 and 2,832

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Solution

The fourth proportional to 4,696.32, 6,479.76 and 2,832 is: 3,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.32 : 6,479.76 = 2,832 : x
  2. Step 2: Convert to fraction form
    4,696.32/6,479.76 = 2,832/x
  3. Step 3: Cross multiply
    4,696.32x = 6,479.76 × 2,832
  4. Step 4: Simplify right side
    4,696.32x = 18,350,680.32
  5. Step 5: Solve for x
    x = 18,350,680.32/4,696.32
  6. Step 6: Final answer
    x = 3,907.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.