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Finding the Fourth Proportional to 5,734.75, 8,602.53 and 2,272

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Solution

The fourth proportional to 5,734.75, 8,602.53 and 2,272 is: 3,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.75 : 8,602.53 = 2,272 : x
  2. Step 2: Convert to fraction form
    5,734.75/8,602.53 = 2,272/x
  3. Step 3: Cross multiply
    5,734.75x = 8,602.53 × 2,272
  4. Step 4: Simplify right side
    5,734.75x = 19,544,948.16
  5. Step 5: Solve for x
    x = 19,544,948.16/5,734.75
  6. Step 6: Final answer
    x = 3,408.16

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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.