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Finding the Fourth Proportional to 5,465.67, 8,198.87 and 1,570.11

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Solution

The fourth proportional to 5,465.67, 8,198.87 and 1,570.11 is: 2,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.67 : 8,198.87 = 1,570.11 : x
  2. Step 2: Convert to fraction form
    5,465.67/8,198.87 = 1,570.11/x
  3. Step 3: Cross multiply
    5,465.67x = 8,198.87 × 1,570.11
  4. Step 4: Simplify right side
    5,465.67x = 12,873,119.93
  5. Step 5: Solve for x
    x = 12,873,119.93/5,465.67
  6. Step 6: Final answer
    x = 2,355.27

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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.