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Finding the Fourth Proportional to 4,932.60, 7,398.90 and 4,719.30

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Solution

The fourth proportional to 4,932.60, 7,398.90 and 4,719.30 is: 7,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.60 : 7,398.90 = 4,719.30 : x
  2. Step 2: Convert to fraction form
    4,932.60/7,398.90 = 4,719.30/x
  3. Step 3: Cross multiply
    4,932.60x = 7,398.90 × 4,719.30
  4. Step 4: Simplify right side
    4,932.60x = 34,917,628.77
  5. Step 5: Solve for x
    x = 34,917,628.77/4,932.60
  6. Step 6: Final answer
    x = 7,078.95

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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.