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Finding the Fourth Proportional to 5,979.62, 8,970.06 and 2,471.12

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Solution

The fourth proportional to 5,979.62, 8,970.06 and 2,471.12 is: 3,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.62 : 8,970.06 = 2,471.12 : x
  2. Step 2: Convert to fraction form
    5,979.62/8,970.06 = 2,471.12/x
  3. Step 3: Cross multiply
    5,979.62x = 8,970.06 × 2,471.12
  4. Step 4: Simplify right side
    5,979.62x = 22,166,094.67
  5. Step 5: Solve for x
    x = 22,166,094.67/5,979.62
  6. Step 6: Final answer
    x = 3,706.94

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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.