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Finding the Fourth Proportional to 5,363.70, 8,038.35 and 3,822.90

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Solution

The fourth proportional to 5,363.70, 8,038.35 and 3,822.90 is: 5,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.70 : 8,038.35 = 3,822.90 : x
  2. Step 2: Convert to fraction form
    5,363.70/8,038.35 = 3,822.90/x
  3. Step 3: Cross multiply
    5,363.70x = 8,038.35 × 3,822.90
  4. Step 4: Simplify right side
    5,363.70x = 30,729,808.22
  5. Step 5: Solve for x
    x = 30,729,808.22/5,363.70
  6. Step 6: Final answer
    x = 5,729.22

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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.