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Finding the Fourth Proportional to 3,655.36, 5,043.12 and 2,536

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Solution

The fourth proportional to 3,655.36, 5,043.12 and 2,536 is: 3,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.36 : 5,043.12 = 2,536 : x
  2. Step 2: Convert to fraction form
    3,655.36/5,043.12 = 2,536/x
  3. Step 3: Cross multiply
    3,655.36x = 5,043.12 × 2,536
  4. Step 4: Simplify right side
    3,655.36x = 12,789,352.32
  5. Step 5: Solve for x
    x = 12,789,352.32/3,655.36
  6. Step 6: Final answer
    x = 3,498.79

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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.