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Finding the Fourth Proportional to 3,876.96, 5,818.68 and 1,570.08

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Solution

The fourth proportional to 3,876.96, 5,818.68 and 1,570.08 is: 2,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.96 : 5,818.68 = 1,570.08 : x
  2. Step 2: Convert to fraction form
    3,876.96/5,818.68 = 1,570.08/x
  3. Step 3: Cross multiply
    3,876.96x = 5,818.68 × 1,570.08
  4. Step 4: Simplify right side
    3,876.96x = 9,135,793.09
  5. Step 5: Solve for x
    x = 9,135,793.09/3,876.96
  6. Step 6: Final answer
    x = 2,356.43

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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.