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Finding the Fourth Proportional to 3,511.02, 5,266.18 and 913.96

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Solution

The fourth proportional to 3,511.02, 5,266.18 and 913.96 is: 1,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.02 : 5,266.18 = 913.96 : x
  2. Step 2: Convert to fraction form
    3,511.02/5,266.18 = 913.96/x
  3. Step 3: Cross multiply
    3,511.02x = 5,266.18 × 913.96
  4. Step 4: Simplify right side
    3,511.02x = 4,813,062.42
  5. Step 5: Solve for x
    x = 4,813,062.42/3,511.02
  6. Step 6: Final answer
    x = 1,370.84

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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.