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Finding the Fourth Proportional to 6,315.76, 8,716 and 3,521.26

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Solution

The fourth proportional to 6,315.76, 8,716 and 3,521.26 is: 4,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.76 : 8,716 = 3,521.26 : x
  2. Step 2: Convert to fraction form
    6,315.76/8,716 = 3,521.26/x
  3. Step 3: Cross multiply
    6,315.76x = 8,716 × 3,521.26
  4. Step 4: Simplify right side
    6,315.76x = 30,691,302.16
  5. Step 5: Solve for x
    x = 30,691,302.16/6,315.76
  6. Step 6: Final answer
    x = 4,859.48

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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.