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Finding the Fourth Proportional to 4,932.16, 7,398.24 and 2,464.49

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Solution

The fourth proportional to 4,932.16, 7,398.24 and 2,464.49 is: 3,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.16 : 7,398.24 = 2,464.49 : x
  2. Step 2: Convert to fraction form
    4,932.16/7,398.24 = 2,464.49/x
  3. Step 3: Cross multiply
    4,932.16x = 7,398.24 × 2,464.49
  4. Step 4: Simplify right side
    4,932.16x = 18,232,897.75
  5. Step 5: Solve for x
    x = 18,232,897.75/4,932.16
  6. Step 6: Final answer
    x = 3,696.74

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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.