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Finding the Fourth Proportional to 4,357.77, 6,538.70 and 2,016.33

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Solution

The fourth proportional to 4,357.77, 6,538.70 and 2,016.33 is: 3,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.77 : 6,538.70 = 2,016.33 : x
  2. Step 2: Convert to fraction form
    4,357.77/6,538.70 = 2,016.33/x
  3. Step 3: Cross multiply
    4,357.77x = 6,538.70 × 2,016.33
  4. Step 4: Simplify right side
    4,357.77x = 13,184,176.97
  5. Step 5: Solve for x
    x = 13,184,176.97/4,357.77
  6. Step 6: Final answer
    x = 3,025.44

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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.