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Finding the Fourth Proportional to 4,592.41, 6,889.10 and 1,471.30

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Solution

The fourth proportional to 4,592.41, 6,889.10 and 1,471.30 is: 2,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.41 : 6,889.10 = 1,471.30 : x
  2. Step 2: Convert to fraction form
    4,592.41/6,889.10 = 1,471.30/x
  3. Step 3: Cross multiply
    4,592.41x = 6,889.10 × 1,471.30
  4. Step 4: Simplify right side
    4,592.41x = 10,135,932.83
  5. Step 5: Solve for x
    x = 10,135,932.83/4,592.41
  6. Step 6: Final answer
    x = 2,207.11

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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.