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Finding the Fourth Proportional to 6,310.68, 8,708.40 and 3,516

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Solution

The fourth proportional to 6,310.68, 8,708.40 and 3,516 is: 4,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.68 : 8,708.40 = 3,516 : x
  2. Step 2: Convert to fraction form
    6,310.68/8,708.40 = 3,516/x
  3. Step 3: Cross multiply
    6,310.68x = 8,708.40 × 3,516
  4. Step 4: Simplify right side
    6,310.68x = 30,618,734.40
  5. Step 5: Solve for x
    x = 30,618,734.40/6,310.68
  6. Step 6: Final answer
    x = 4,851.89

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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.