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Finding the Fourth Proportional to 5,776.44, 7,975.26 and 4,447.68

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Solution

The fourth proportional to 5,776.44, 7,975.26 and 4,447.68 is: 6,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.44 : 7,975.26 = 4,447.68 : x
  2. Step 2: Convert to fraction form
    5,776.44/7,975.26 = 4,447.68/x
  3. Step 3: Cross multiply
    5,776.44x = 7,975.26 × 4,447.68
  4. Step 4: Simplify right side
    5,776.44x = 35,471,404.40
  5. Step 5: Solve for x
    x = 35,471,404.40/5,776.44
  6. Step 6: Final answer
    x = 6,140.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.