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Finding the Fourth Proportional to 6,310.80, 8,708.19 and 3,657.66

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Solution

The fourth proportional to 6,310.80, 8,708.19 and 3,657.66 is: 5,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.80 : 8,708.19 = 3,657.66 : x
  2. Step 2: Convert to fraction form
    6,310.80/8,708.19 = 3,657.66/x
  3. Step 3: Cross multiply
    6,310.80x = 8,708.19 × 3,657.66
  4. Step 4: Simplify right side
    6,310.80x = 31,851,598.24
  5. Step 5: Solve for x
    x = 31,851,598.24/6,310.80
  6. Step 6: Final answer
    x = 5,047.16

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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.