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Finding the Fourth Proportional to 4,909.77, 6,775.43 and 3,233.61

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Solution

The fourth proportional to 4,909.77, 6,775.43 and 3,233.61 is: 4,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.77 : 6,775.43 = 3,233.61 : x
  2. Step 2: Convert to fraction form
    4,909.77/6,775.43 = 3,233.61/x
  3. Step 3: Cross multiply
    4,909.77x = 6,775.43 × 3,233.61
  4. Step 4: Simplify right side
    4,909.77x = 21,909,082.03
  5. Step 5: Solve for x
    x = 21,909,082.03/4,909.77
  6. Step 6: Final answer
    x = 4,462.34

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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.