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Finding the Fourth Proportional to 3,772.54, 5,656.06 and 2,536.88

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Solution

The fourth proportional to 3,772.54, 5,656.06 and 2,536.88 is: 3,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.54 : 5,656.06 = 2,536.88 : x
  2. Step 2: Convert to fraction form
    3,772.54/5,656.06 = 2,536.88/x
  3. Step 3: Cross multiply
    3,772.54x = 5,656.06 × 2,536.88
  4. Step 4: Simplify right side
    3,772.54x = 14,348,745.49
  5. Step 5: Solve for x
    x = 14,348,745.49/3,772.54
  6. Step 6: Final answer
    x = 3,803.47

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Why These Related Problems?

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