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Finding the Fourth Proportional to 5,870.76, 8,808.77 and 2,584.81

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Solution

The fourth proportional to 5,870.76, 8,808.77 and 2,584.81 is: 3,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.76 : 8,808.77 = 2,584.81 : x
  2. Step 2: Convert to fraction form
    5,870.76/8,808.77 = 2,584.81/x
  3. Step 3: Cross multiply
    5,870.76x = 8,808.77 × 2,584.81
  4. Step 4: Simplify right side
    5,870.76x = 22,768,996.78
  5. Step 5: Solve for x
    x = 22,768,996.78/5,870.76
  6. Step 6: Final answer
    x = 3,878.37

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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.