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Finding the Fourth Proportional to 5,443.68, 8,165.34 and 2,365.68

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Solution

The fourth proportional to 5,443.68, 8,165.34 and 2,365.68 is: 3,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.68 : 8,165.34 = 2,365.68 : x
  2. Step 2: Convert to fraction form
    5,443.68/8,165.34 = 2,365.68/x
  3. Step 3: Cross multiply
    5,443.68x = 8,165.34 × 2,365.68
  4. Step 4: Simplify right side
    5,443.68x = 19,316,581.53
  5. Step 5: Solve for x
    x = 19,316,581.53/5,443.68
  6. Step 6: Final answer
    x = 3,548.44

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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.