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Finding the Fourth Proportional to 5,363.82, 7,406.58 and 4,035.22

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Solution

The fourth proportional to 5,363.82, 7,406.58 and 4,035.22 is: 5,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.82 : 7,406.58 = 4,035.22 : x
  2. Step 2: Convert to fraction form
    5,363.82/7,406.58 = 4,035.22/x
  3. Step 3: Cross multiply
    5,363.82x = 7,406.58 × 4,035.22
  4. Step 4: Simplify right side
    5,363.82x = 29,887,179.75
  5. Step 5: Solve for x
    x = 29,887,179.75/5,363.82
  6. Step 6: Final answer
    x = 5,572.00

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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.