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Finding the Fourth Proportional to 3,406.16, 4,699.14 and 2,146.88

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Solution

The fourth proportional to 3,406.16, 4,699.14 and 2,146.88 is: 2,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.16 : 4,699.14 = 2,146.88 : x
  2. Step 2: Convert to fraction form
    3,406.16/4,699.14 = 2,146.88/x
  3. Step 3: Cross multiply
    3,406.16x = 4,699.14 × 2,146.88
  4. Step 4: Simplify right side
    3,406.16x = 10,088,489.68
  5. Step 5: Solve for x
    x = 10,088,489.68/3,406.16
  6. Step 6: Final answer
    x = 2,961.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.