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Finding the Fourth Proportional to 5,886.50, 8,822.66 and 2,595.87

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Solution

The fourth proportional to 5,886.50, 8,822.66 and 2,595.87 is: 3,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.50 : 8,822.66 = 2,595.87 : x
  2. Step 2: Convert to fraction form
    5,886.50/8,822.66 = 2,595.87/x
  3. Step 3: Cross multiply
    5,886.50x = 8,822.66 × 2,595.87
  4. Step 4: Simplify right side
    5,886.50x = 22,902,465.43
  5. Step 5: Solve for x
    x = 22,902,465.43/5,886.50
  6. Step 6: Final answer
    x = 3,890.68

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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.