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Finding the Fourth Proportional to 5,780.67, 8,666.37 and 5,454.67

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Solution

The fourth proportional to 5,780.67, 8,666.37 and 5,454.67 is: 8,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.67 : 8,666.37 = 5,454.67 : x
  2. Step 2: Convert to fraction form
    5,780.67/8,666.37 = 5,454.67/x
  3. Step 3: Cross multiply
    5,780.67x = 8,666.37 × 5,454.67
  4. Step 4: Simplify right side
    5,780.67x = 47,272,143.32
  5. Step 5: Solve for x
    x = 47,272,143.32/5,780.67
  6. Step 6: Final answer
    x = 8,177.63

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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.