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Finding the Fourth Proportional to 5,486.72, 8,214.01 and 3,400.43

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Solution

The fourth proportional to 5,486.72, 8,214.01 and 3,400.43 is: 5,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.72 : 8,214.01 = 3,400.43 : x
  2. Step 2: Convert to fraction form
    5,486.72/8,214.01 = 3,400.43/x
  3. Step 3: Cross multiply
    5,486.72x = 8,214.01 × 3,400.43
  4. Step 4: Simplify right side
    5,486.72x = 27,931,116.45
  5. Step 5: Solve for x
    x = 27,931,116.45/5,486.72
  6. Step 6: Final answer
    x = 5,090.68

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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.