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Finding the Fourth Proportional to 5,465.42, 8,198.49 and 1,569.86

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Solution

The fourth proportional to 5,465.42, 8,198.49 and 1,569.86 is: 2,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.42 : 8,198.49 = 1,569.86 : x
  2. Step 2: Convert to fraction form
    5,465.42/8,198.49 = 1,569.86/x
  3. Step 3: Cross multiply
    5,465.42x = 8,198.49 × 1,569.86
  4. Step 4: Simplify right side
    5,465.42x = 12,870,481.51
  5. Step 5: Solve for x
    x = 12,870,481.51/5,465.42
  6. Step 6: Final answer
    x = 2,354.89

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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.