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Finding the Fourth Proportional to 5,878.81, 8,811.26 and 2,585.01

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Solution

The fourth proportional to 5,878.81, 8,811.26 and 2,585.01 is: 3,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.81 : 8,811.26 = 2,585.01 : x
  2. Step 2: Convert to fraction form
    5,878.81/8,811.26 = 2,585.01/x
  3. Step 3: Cross multiply
    5,878.81x = 8,811.26 × 2,585.01
  4. Step 4: Simplify right side
    5,878.81x = 22,777,239.56
  5. Step 5: Solve for x
    x = 22,777,239.56/5,878.81
  6. Step 6: Final answer
    x = 3,874.46

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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.