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Finding the Fourth Proportional to 5,729.76, 8,597.76 and 4,433.76

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Solution

The fourth proportional to 5,729.76, 8,597.76 and 4,433.76 is: 6,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.76 : 8,597.76 = 4,433.76 : x
  2. Step 2: Convert to fraction form
    5,729.76/8,597.76 = 4,433.76/x
  3. Step 3: Cross multiply
    5,729.76x = 8,597.76 × 4,433.76
  4. Step 4: Simplify right side
    5,729.76x = 38,120,404.38
  5. Step 5: Solve for x
    x = 38,120,404.38/5,729.76
  6. Step 6: Final answer
    x = 6,653.05

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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.