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Finding the Fourth Proportional to 5,864.62, 8,775.05 and 5,799.01

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Solution

The fourth proportional to 5,864.62, 8,775.05 and 5,799.01 is: 8,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.62 : 8,775.05 = 5,799.01 : x
  2. Step 2: Convert to fraction form
    5,864.62/8,775.05 = 5,799.01/x
  3. Step 3: Cross multiply
    5,864.62x = 8,775.05 × 5,799.01
  4. Step 4: Simplify right side
    5,864.62x = 50,886,529.83
  5. Step 5: Solve for x
    x = 50,886,529.83/5,864.62
  6. Step 6: Final answer
    x = 8,676.87

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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.