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Finding the Fourth Proportional to 5,269.97, 7,904.96 and 4,949.21

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Solution

The fourth proportional to 5,269.97, 7,904.96 and 4,949.21 is: 7,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.97 : 7,904.96 = 4,949.21 : x
  2. Step 2: Convert to fraction form
    5,269.97/7,904.96 = 4,949.21/x
  3. Step 3: Cross multiply
    5,269.97x = 7,904.96 × 4,949.21
  4. Step 4: Simplify right side
    5,269.97x = 39,123,307.08
  5. Step 5: Solve for x
    x = 39,123,307.08/5,269.97
  6. Step 6: Final answer
    x = 7,423.82

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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.