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Finding the Fourth Proportional to 5,780.57, 8,673.62 and 5,536.82

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Solution

The fourth proportional to 5,780.57, 8,673.62 and 5,536.82 is: 8,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.57 : 8,673.62 = 5,536.82 : x
  2. Step 2: Convert to fraction form
    5,780.57/8,673.62 = 5,536.82/x
  3. Step 3: Cross multiply
    5,780.57x = 8,673.62 × 5,536.82
  4. Step 4: Simplify right side
    5,780.57x = 48,024,266.69
  5. Step 5: Solve for x
    x = 48,024,266.69/5,780.57
  6. Step 6: Final answer
    x = 8,307.88

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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.