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Finding the Fourth Proportional to 3,085.28, 4,626.82 and 893.56

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Solution

The fourth proportional to 3,085.28, 4,626.82 and 893.56 is: 1,340.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.28 : 4,626.82 = 893.56 : x
  2. Step 2: Convert to fraction form
    3,085.28/4,626.82 = 893.56/x
  3. Step 3: Cross multiply
    3,085.28x = 4,626.82 × 893.56
  4. Step 4: Simplify right side
    3,085.28x = 4,134,327.48
  5. Step 5: Solve for x
    x = 4,134,327.48/3,085.28
  6. Step 6: Final answer
    x = 1,340.02

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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.