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Finding the Fourth Proportional to 5,465.66, 8,198.52 and 2,345.42

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Solution

The fourth proportional to 5,465.66, 8,198.52 and 2,345.42 is: 3,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.66 : 8,198.52 = 2,345.42 : x
  2. Step 2: Convert to fraction form
    5,465.66/8,198.52 = 2,345.42/x
  3. Step 3: Cross multiply
    5,465.66x = 8,198.52 × 2,345.42
  4. Step 4: Simplify right side
    5,465.66x = 19,228,972.78
  5. Step 5: Solve for x
    x = 19,228,972.78/5,465.66
  6. Step 6: Final answer
    x = 3,518.14

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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.