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Finding the Fourth Proportional to 6,316.50, 8,717.04 and 3,522

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Solution

The fourth proportional to 6,316.50, 8,717.04 and 3,522 is: 4,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.50 : 8,717.04 = 3,522 : x
  2. Step 2: Convert to fraction form
    6,316.50/8,717.04 = 3,522/x
  3. Step 3: Cross multiply
    6,316.50x = 8,717.04 × 3,522
  4. Step 4: Simplify right side
    6,316.50x = 30,701,414.88
  5. Step 5: Solve for x
    x = 30,701,414.88/6,316.50
  6. Step 6: Final answer
    x = 4,860.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.