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Finding the Fourth Proportional to 3,436.47, 4,741.03 and 2,020.22

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Solution

The fourth proportional to 3,436.47, 4,741.03 and 2,020.22 is: 2,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.47 : 4,741.03 = 2,020.22 : x
  2. Step 2: Convert to fraction form
    3,436.47/4,741.03 = 2,020.22/x
  3. Step 3: Cross multiply
    3,436.47x = 4,741.03 × 2,020.22
  4. Step 4: Simplify right side
    3,436.47x = 9,577,889.82
  5. Step 5: Solve for x
    x = 9,577,889.82/3,436.47
  6. Step 6: Final answer
    x = 2,787.13

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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.