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Finding the Fourth Proportional to 4,719.50, 7,079.30 and 1,432.62

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Solution

The fourth proportional to 4,719.50, 7,079.30 and 1,432.62 is: 2,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.50 : 7,079.30 = 1,432.62 : x
  2. Step 2: Convert to fraction form
    4,719.50/7,079.30 = 1,432.62/x
  3. Step 3: Cross multiply
    4,719.50x = 7,079.30 × 1,432.62
  4. Step 4: Simplify right side
    4,719.50x = 10,141,944.98
  5. Step 5: Solve for x
    x = 10,141,944.98/4,719.50
  6. Step 6: Final answer
    x = 2,148.95

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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.