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Finding the Fourth Proportional to 5,335.10, 7,991.13 and 4,471.10

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Solution

The fourth proportional to 5,335.10, 7,991.13 and 4,471.10 is: 6,697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.10 : 7,991.13 = 4,471.10 : x
  2. Step 2: Convert to fraction form
    5,335.10/7,991.13 = 4,471.10/x
  3. Step 3: Cross multiply
    5,335.10x = 7,991.13 × 4,471.10
  4. Step 4: Simplify right side
    5,335.10x = 35,729,141.34
  5. Step 5: Solve for x
    x = 35,729,141.34/5,335.10
  6. Step 6: Final answer
    x = 6,697.00

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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.