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Finding the Fourth Proportional to 5,814.08, 8,022.08 and 3,295.62

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Solution

The fourth proportional to 5,814.08, 8,022.08 and 3,295.62 is: 4,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.08 : 8,022.08 = 3,295.62 : x
  2. Step 2: Convert to fraction form
    5,814.08/8,022.08 = 3,295.62/x
  3. Step 3: Cross multiply
    5,814.08x = 8,022.08 × 3,295.62
  4. Step 4: Simplify right side
    5,814.08x = 26,437,727.29
  5. Step 5: Solve for x
    x = 26,437,727.29/5,814.08
  6. Step 6: Final answer
    x = 4,547.19

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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.