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Finding the Fourth Proportional to 4,478.34, 6,716.16 and 3,100.56

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Solution

The fourth proportional to 4,478.34, 6,716.16 and 3,100.56 is: 4,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.34 : 6,716.16 = 3,100.56 : x
  2. Step 2: Convert to fraction form
    4,478.34/6,716.16 = 3,100.56/x
  3. Step 3: Cross multiply
    4,478.34x = 6,716.16 × 3,100.56
  4. Step 4: Simplify right side
    4,478.34x = 20,823,857.05
  5. Step 5: Solve for x
    x = 20,823,857.05/4,478.34
  6. Step 6: Final answer
    x = 4,649.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.