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Finding the Fourth Proportional to 5,471.34, 7,531.83 and 4,142.94

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Solution

The fourth proportional to 5,471.34, 7,531.83 and 4,142.94 is: 5,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.34 : 7,531.83 = 4,142.94 : x
  2. Step 2: Convert to fraction form
    5,471.34/7,531.83 = 4,142.94/x
  3. Step 3: Cross multiply
    5,471.34x = 7,531.83 × 4,142.94
  4. Step 4: Simplify right side
    5,471.34x = 31,203,919.78
  5. Step 5: Solve for x
    x = 31,203,919.78/5,471.34
  6. Step 6: Final answer
    x = 5,703.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.