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Finding the Fourth Proportional to 5,295.29, 7,934.75 and 2,006.60

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Solution

The fourth proportional to 5,295.29, 7,934.75 and 2,006.60 is: 3,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.29 : 7,934.75 = 2,006.60 : x
  2. Step 2: Convert to fraction form
    5,295.29/7,934.75 = 2,006.60/x
  3. Step 3: Cross multiply
    5,295.29x = 7,934.75 × 2,006.60
  4. Step 4: Simplify right side
    5,295.29x = 15,921,859.32
  5. Step 5: Solve for x
    x = 15,921,859.32/5,295.29
  6. Step 6: Final answer
    x = 3,006.80

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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.