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Finding the Fourth Proportional to 5,248.45, 7,865.69 and 1,958.23

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Solution

The fourth proportional to 5,248.45, 7,865.69 and 1,958.23 is: 2,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.45 : 7,865.69 = 1,958.23 : x
  2. Step 2: Convert to fraction form
    5,248.45/7,865.69 = 1,958.23/x
  3. Step 3: Cross multiply
    5,248.45x = 7,865.69 × 1,958.23
  4. Step 4: Simplify right side
    5,248.45x = 15,402,830.13
  5. Step 5: Solve for x
    x = 15,402,830.13/5,248.45
  6. Step 6: Final answer
    x = 2,934.74

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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.