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Finding the Fourth Proportional to 3,486.98, 5,229.16 and 1,406.45

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Solution

The fourth proportional to 3,486.98, 5,229.16 and 1,406.45 is: 2,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.98 : 5,229.16 = 1,406.45 : x
  2. Step 2: Convert to fraction form
    3,486.98/5,229.16 = 1,406.45/x
  3. Step 3: Cross multiply
    3,486.98x = 5,229.16 × 1,406.45
  4. Step 4: Simplify right side
    3,486.98x = 7,354,561.64
  5. Step 5: Solve for x
    x = 7,354,561.64/3,486.98
  6. Step 6: Final answer
    x = 2,109.15

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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.