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Finding the Fourth Proportional to 3,034.01, 4,547.73 and 2,216.09

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Solution

The fourth proportional to 3,034.01, 4,547.73 and 2,216.09 is: 3,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.01 : 4,547.73 = 2,216.09 : x
  2. Step 2: Convert to fraction form
    3,034.01/4,547.73 = 2,216.09/x
  3. Step 3: Cross multiply
    3,034.01x = 4,547.73 × 2,216.09
  4. Step 4: Simplify right side
    3,034.01x = 10,078,178.98
  5. Step 5: Solve for x
    x = 10,078,178.98/3,034.01
  6. Step 6: Final answer
    x = 3,321.74

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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.