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Finding the Fourth Proportional to 3,034.73, 4,547.99 and 2,209.14

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Solution

The fourth proportional to 3,034.73, 4,547.99 and 2,209.14 is: 3,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.73 : 4,547.99 = 2,209.14 : x
  2. Step 2: Convert to fraction form
    3,034.73/4,547.99 = 2,209.14/x
  3. Step 3: Cross multiply
    3,034.73x = 4,547.99 × 2,209.14
  4. Step 4: Simplify right side
    3,034.73x = 10,047,146.63
  5. Step 5: Solve for x
    x = 10,047,146.63/3,034.73
  6. Step 6: Final answer
    x = 3,310.72

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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.