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Finding the Fourth Proportional to 3,093.34, 4,637.22 and 1,144.18

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Solution

The fourth proportional to 3,093.34, 4,637.22 and 1,144.18 is: 1,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.34 : 4,637.22 = 1,144.18 : x
  2. Step 2: Convert to fraction form
    3,093.34/4,637.22 = 1,144.18/x
  3. Step 3: Cross multiply
    3,093.34x = 4,637.22 × 1,144.18
  4. Step 4: Simplify right side
    3,093.34x = 5,305,814.38
  5. Step 5: Solve for x
    x = 5,305,814.38/3,093.34
  6. Step 6: Final answer
    x = 1,715.24

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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.