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Finding the Fourth Proportional to 5,872, 8,810.86 and 2,584.68

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Solution

The fourth proportional to 5,872, 8,810.86 and 2,584.68 is: 3,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872 : 8,810.86 = 2,584.68 : x
  2. Step 2: Convert to fraction form
    5,872/8,810.86 = 2,584.68/x
  3. Step 3: Cross multiply
    5,872x = 8,810.86 × 2,584.68
  4. Step 4: Simplify right side
    5,872x = 22,773,253.62
  5. Step 5: Solve for x
    x = 22,773,253.62/5,872
  6. Step 6: Final answer
    x = 3,878.28

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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.