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Finding the Fourth Proportional to 3,437.64, 4,742.82 and 2,110.86

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Solution

The fourth proportional to 3,437.64, 4,742.82 and 2,110.86 is: 2,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.64 : 4,742.82 = 2,110.86 : x
  2. Step 2: Convert to fraction form
    3,437.64/4,742.82 = 2,110.86/x
  3. Step 3: Cross multiply
    3,437.64x = 4,742.82 × 2,110.86
  4. Step 4: Simplify right side
    3,437.64x = 10,011,429.03
  5. Step 5: Solve for x
    x = 10,011,429.03/3,437.64
  6. Step 6: Final answer
    x = 2,912.30

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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.