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Finding the Fourth Proportional to 3,536.28, 4,880.64 and 3,442.68

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Solution

The fourth proportional to 3,536.28, 4,880.64 and 3,442.68 is: 4,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.28 : 4,880.64 = 3,442.68 : x
  2. Step 2: Convert to fraction form
    3,536.28/4,880.64 = 3,442.68/x
  3. Step 3: Cross multiply
    3,536.28x = 4,880.64 × 3,442.68
  4. Step 4: Simplify right side
    3,536.28x = 16,802,481.72
  5. Step 5: Solve for x
    x = 16,802,481.72/3,536.28
  6. Step 6: Final answer
    x = 4,751.46

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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.