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Finding the Fourth Proportional to 5,687.88, 8,530.88 and 4,039.44

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Solution

The fourth proportional to 5,687.88, 8,530.88 and 4,039.44 is: 6,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.88 : 8,530.88 = 4,039.44 : x
  2. Step 2: Convert to fraction form
    5,687.88/8,530.88 = 4,039.44/x
  3. Step 3: Cross multiply
    5,687.88x = 8,530.88 × 4,039.44
  4. Step 4: Simplify right side
    5,687.88x = 34,459,977.91
  5. Step 5: Solve for x
    x = 34,459,977.91/5,687.88
  6. Step 6: Final answer
    x = 6,058.49

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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.