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Finding the Fourth Proportional to 5,729.67, 8,595.72 and 1,780.83

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Solution

The fourth proportional to 5,729.67, 8,595.72 and 1,780.83 is: 2,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.67 : 8,595.72 = 1,780.83 : x
  2. Step 2: Convert to fraction form
    5,729.67/8,595.72 = 1,780.83/x
  3. Step 3: Cross multiply
    5,729.67x = 8,595.72 × 1,780.83
  4. Step 4: Simplify right side
    5,729.67x = 15,307,516.05
  5. Step 5: Solve for x
    x = 15,307,516.05/5,729.67
  6. Step 6: Final answer
    x = 2,671.62

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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.