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Finding the Fourth Proportional to 5,855.74, 8,781.50 and 2,346.54

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Solution

The fourth proportional to 5,855.74, 8,781.50 and 2,346.54 is: 3,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.74 : 8,781.50 = 2,346.54 : x
  2. Step 2: Convert to fraction form
    5,855.74/8,781.50 = 2,346.54/x
  3. Step 3: Cross multiply
    5,855.74x = 8,781.50 × 2,346.54
  4. Step 4: Simplify right side
    5,855.74x = 20,606,141.01
  5. Step 5: Solve for x
    x = 20,606,141.01/5,855.74
  6. Step 6: Final answer
    x = 3,518.96

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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.