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Finding the Fourth Proportional to 3,257.88, 4,887.12 and 1,066.83

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Solution

The fourth proportional to 3,257.88, 4,887.12 and 1,066.83 is: 1,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.88 : 4,887.12 = 1,066.83 : x
  2. Step 2: Convert to fraction form
    3,257.88/4,887.12 = 1,066.83/x
  3. Step 3: Cross multiply
    3,257.88x = 4,887.12 × 1,066.83
  4. Step 4: Simplify right side
    3,257.88x = 5,213,726.23
  5. Step 5: Solve for x
    x = 5,213,726.23/3,257.88
  6. Step 6: Final answer
    x = 1,600.34

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