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Finding the Fourth Proportional to 5,471.40, 7,531.48 and 4,771.56

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Solution

The fourth proportional to 5,471.40, 7,531.48 and 4,771.56 is: 6,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.40 : 7,531.48 = 4,771.56 : x
  2. Step 2: Convert to fraction form
    5,471.40/7,531.48 = 4,771.56/x
  3. Step 3: Cross multiply
    5,471.40x = 7,531.48 × 4,771.56
  4. Step 4: Simplify right side
    5,471.40x = 35,936,908.71
  5. Step 5: Solve for x
    x = 35,936,908.71/5,471.40
  6. Step 6: Final answer
    x = 6,568.14

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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.