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Finding the Fourth Proportional to 5,565.81, 7,678.35 and 3,326.56

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Solution

The fourth proportional to 5,565.81, 7,678.35 and 3,326.56 is: 4,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.81 : 7,678.35 = 3,326.56 : x
  2. Step 2: Convert to fraction form
    5,565.81/7,678.35 = 3,326.56/x
  3. Step 3: Cross multiply
    5,565.81x = 7,678.35 × 3,326.56
  4. Step 4: Simplify right side
    5,565.81x = 25,542,491.98
  5. Step 5: Solve for x
    x = 25,542,491.98/5,565.81
  6. Step 6: Final answer
    x = 4,589.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.