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Finding the Fourth Proportional to 3,503.28, 4,824 and 3,186.72

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Solution

The fourth proportional to 3,503.28, 4,824 and 3,186.72 is: 4,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.28 : 4,824 = 3,186.72 : x
  2. Step 2: Convert to fraction form
    3,503.28/4,824 = 3,186.72/x
  3. Step 3: Cross multiply
    3,503.28x = 4,824 × 3,186.72
  4. Step 4: Simplify right side
    3,503.28x = 15,372,737.28
  5. Step 5: Solve for x
    x = 15,372,737.28/3,503.28
  6. Step 6: Final answer
    x = 4,388.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.