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Finding the Fourth Proportional to 6,315.92, 8,716.36 and 3,483.28

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Solution

The fourth proportional to 6,315.92, 8,716.36 and 3,483.28 is: 4,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.92 : 8,716.36 = 3,483.28 : x
  2. Step 2: Convert to fraction form
    6,315.92/8,716.36 = 3,483.28/x
  3. Step 3: Cross multiply
    6,315.92x = 8,716.36 × 3,483.28
  4. Step 4: Simplify right side
    6,315.92x = 30,361,522.46
  5. Step 5: Solve for x
    x = 30,361,522.46/6,315.92
  6. Step 6: Final answer
    x = 4,807.14

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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.