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Finding the Fourth Proportional to 5,785.42, 8,676.76 and 2,496.72

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Solution

The fourth proportional to 5,785.42, 8,676.76 and 2,496.72 is: 3,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.42 : 8,676.76 = 2,496.72 : x
  2. Step 2: Convert to fraction form
    5,785.42/8,676.76 = 2,496.72/x
  3. Step 3: Cross multiply
    5,785.42x = 8,676.76 × 2,496.72
  4. Step 4: Simplify right side
    5,785.42x = 21,663,418.54
  5. Step 5: Solve for x
    x = 21,663,418.54/5,785.42
  6. Step 6: Final answer
    x = 3,744.49

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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.