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Finding the Fourth Proportional to 3,459.32, 4,774.76 and 2,134.11

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Solution

The fourth proportional to 3,459.32, 4,774.76 and 2,134.11 is: 2,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.32 : 4,774.76 = 2,134.11 : x
  2. Step 2: Convert to fraction form
    3,459.32/4,774.76 = 2,134.11/x
  3. Step 3: Cross multiply
    3,459.32x = 4,774.76 × 2,134.11
  4. Step 4: Simplify right side
    3,459.32x = 10,189,863.06
  5. Step 5: Solve for x
    x = 10,189,863.06/3,459.32
  6. Step 6: Final answer
    x = 2,945.63

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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.