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Finding the Fourth Proportional to 4,932.16, 7,398.94 and 1,599.28

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Solution

The fourth proportional to 4,932.16, 7,398.94 and 1,599.28 is: 2,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.16 : 7,398.94 = 1,599.28 : x
  2. Step 2: Convert to fraction form
    4,932.16/7,398.94 = 1,599.28/x
  3. Step 3: Cross multiply
    4,932.16x = 7,398.94 × 1,599.28
  4. Step 4: Simplify right side
    4,932.16x = 11,832,976.76
  5. Step 5: Solve for x
    x = 11,832,976.76/4,932.16
  6. Step 6: Final answer
    x = 2,399.15

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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.