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Finding the Fourth Proportional to 5,878.54, 8,849.89 and 5,361.87

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Solution

The fourth proportional to 5,878.54, 8,849.89 and 5,361.87 is: 8,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.54 : 8,849.89 = 5,361.87 : x
  2. Step 2: Convert to fraction form
    5,878.54/8,849.89 = 5,361.87/x
  3. Step 3: Cross multiply
    5,878.54x = 8,849.89 × 5,361.87
  4. Step 4: Simplify right side
    5,878.54x = 47,451,909.83
  5. Step 5: Solve for x
    x = 47,451,909.83/5,878.54
  6. Step 6: Final answer
    x = 8,072.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.