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Finding the Fourth Proportional to 5,633.97, 8,454.69 and 2,347.08

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Solution

The fourth proportional to 5,633.97, 8,454.69 and 2,347.08 is: 3,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.97 : 8,454.69 = 2,347.08 : x
  2. Step 2: Convert to fraction form
    5,633.97/8,454.69 = 2,347.08/x
  3. Step 3: Cross multiply
    5,633.97x = 8,454.69 × 2,347.08
  4. Step 4: Simplify right side
    5,633.97x = 19,843,833.81
  5. Step 5: Solve for x
    x = 19,843,833.81/5,633.97
  6. Step 6: Final answer
    x = 3,522.18

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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.