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Finding the Fourth Proportional to 5,288.80, 7,929.60 and 2,001.40

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Solution

The fourth proportional to 5,288.80, 7,929.60 and 2,001.40 is: 3,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.80 : 7,929.60 = 2,001.40 : x
  2. Step 2: Convert to fraction form
    5,288.80/7,929.60 = 2,001.40/x
  3. Step 3: Cross multiply
    5,288.80x = 7,929.60 × 2,001.40
  4. Step 4: Simplify right side
    5,288.80x = 15,870,301.44
  5. Step 5: Solve for x
    x = 15,870,301.44/5,288.80
  6. Step 6: Final answer
    x = 3,000.74

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1.5x scale

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.