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Finding the Fourth Proportional to 3,486.20, 5,227.22 and 1,407.16

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Solution

The fourth proportional to 3,486.20, 5,227.22 and 1,407.16 is: 2,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.20 : 5,227.22 = 1,407.16 : x
  2. Step 2: Convert to fraction form
    3,486.20/5,227.22 = 1,407.16/x
  3. Step 3: Cross multiply
    3,486.20x = 5,227.22 × 1,407.16
  4. Step 4: Simplify right side
    3,486.20x = 7,355,534.90
  5. Step 5: Solve for x
    x = 7,355,534.90/3,486.20
  6. Step 6: Final answer
    x = 2,109.90

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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.