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Finding the Fourth Proportional to 5,817.88, 8,717.10 and 4,078

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Solution

The fourth proportional to 5,817.88, 8,717.10 and 4,078 is: 6,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.88 : 8,717.10 = 4,078 : x
  2. Step 2: Convert to fraction form
    5,817.88/8,717.10 = 4,078/x
  3. Step 3: Cross multiply
    5,817.88x = 8,717.10 × 4,078
  4. Step 4: Simplify right side
    5,817.88x = 35,548,333.80
  5. Step 5: Solve for x
    x = 35,548,333.80/5,817.88
  6. Step 6: Final answer
    x = 6,110.19

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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.