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Finding the Fourth Proportional to 4,278.84, 6,409.90 and 2,813.56

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Solution

The fourth proportional to 4,278.84, 6,409.90 and 2,813.56 is: 4,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.84 : 6,409.90 = 2,813.56 : x
  2. Step 2: Convert to fraction form
    4,278.84/6,409.90 = 2,813.56/x
  3. Step 3: Cross multiply
    4,278.84x = 6,409.90 × 2,813.56
  4. Step 4: Simplify right side
    4,278.84x = 18,034,638.24
  5. Step 5: Solve for x
    x = 18,034,638.24/4,278.84
  6. Step 6: Final answer
    x = 4,214.84

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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.