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Finding the Fourth Proportional to 3,604.32, 4,977.36 and 3,342.24

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Solution

The fourth proportional to 3,604.32, 4,977.36 and 3,342.24 is: 4,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.32 : 4,977.36 = 3,342.24 : x
  2. Step 2: Convert to fraction form
    3,604.32/4,977.36 = 3,342.24/x
  3. Step 3: Cross multiply
    3,604.32x = 4,977.36 × 3,342.24
  4. Step 4: Simplify right side
    3,604.32x = 16,635,531.69
  5. Step 5: Solve for x
    x = 16,635,531.69/3,604.32
  6. Step 6: Final answer
    x = 4,615.44

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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.