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Finding the Fourth Proportional to 5,362.08, 8,046 and 2,241.60

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Solution

The fourth proportional to 5,362.08, 8,046 and 2,241.60 is: 3,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.08 : 8,046 = 2,241.60 : x
  2. Step 2: Convert to fraction form
    5,362.08/8,046 = 2,241.60/x
  3. Step 3: Cross multiply
    5,362.08x = 8,046 × 2,241.60
  4. Step 4: Simplify right side
    5,362.08x = 18,035,913.60
  5. Step 5: Solve for x
    x = 18,035,913.60/5,362.08
  6. Step 6: Final answer
    x = 3,363.60

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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.