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Finding the Fourth Proportional to 2,547.73, 3,804.16 and 2,282.47

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Solution

The fourth proportional to 2,547.73, 3,804.16 and 2,282.47 is: 3,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.73 : 3,804.16 = 2,282.47 : x
  2. Step 2: Convert to fraction form
    2,547.73/3,804.16 = 2,282.47/x
  3. Step 3: Cross multiply
    2,547.73x = 3,804.16 × 2,282.47
  4. Step 4: Simplify right side
    2,547.73x = 8,682,869.66
  5. Step 5: Solve for x
    x = 8,682,869.66/2,547.73
  6. Step 6: Final answer
    x = 3,408.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.