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Finding the Fourth Proportional to 5,363.82, 8,032.01 and 3,174.12

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Solution

The fourth proportional to 5,363.82, 8,032.01 and 3,174.12 is: 4,753.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.82 : 8,032.01 = 3,174.12 : x
  2. Step 2: Convert to fraction form
    5,363.82/8,032.01 = 3,174.12/x
  3. Step 3: Cross multiply
    5,363.82x = 8,032.01 × 3,174.12
  4. Step 4: Simplify right side
    5,363.82x = 25,494,547.71
  5. Step 5: Solve for x
    x = 25,494,547.71/5,363.82
  6. Step 6: Final answer
    x = 4,753.06

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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.