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Finding the Fourth Proportional to 3,509.01, 4,841.64 and 2,016.72

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Solution

The fourth proportional to 3,509.01, 4,841.64 and 2,016.72 is: 2,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.01 : 4,841.64 = 2,016.72 : x
  2. Step 2: Convert to fraction form
    3,509.01/4,841.64 = 2,016.72/x
  3. Step 3: Cross multiply
    3,509.01x = 4,841.64 × 2,016.72
  4. Step 4: Simplify right side
    3,509.01x = 9,764,232.22
  5. Step 5: Solve for x
    x = 9,764,232.22/3,509.01
  6. Step 6: Final answer
    x = 2,782.62

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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.