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Finding the Fourth Proportional to 4,565.82, 6,844.86 and 1,933.22

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Solution

The fourth proportional to 4,565.82, 6,844.86 and 1,933.22 is: 2,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.82 : 6,844.86 = 1,933.22 : x
  2. Step 2: Convert to fraction form
    4,565.82/6,844.86 = 1,933.22/x
  3. Step 3: Cross multiply
    4,565.82x = 6,844.86 × 1,933.22
  4. Step 4: Simplify right side
    4,565.82x = 13,232,620.25
  5. Step 5: Solve for x
    x = 13,232,620.25/4,565.82
  6. Step 6: Final answer
    x = 2,898.19

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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.