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Finding the Fourth Proportional to 4,471.86, 6,705.63 and 1,351.29

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Solution

The fourth proportional to 4,471.86, 6,705.63 and 1,351.29 is: 2,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.86 : 6,705.63 = 1,351.29 : x
  2. Step 2: Convert to fraction form
    4,471.86/6,705.63 = 1,351.29/x
  3. Step 3: Cross multiply
    4,471.86x = 6,705.63 × 1,351.29
  4. Step 4: Simplify right side
    4,471.86x = 9,061,250.76
  5. Step 5: Solve for x
    x = 9,061,250.76/4,471.86
  6. Step 6: Final answer
    x = 2,026.28

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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.