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Finding the Fourth Proportional to 3,505.05, 5,253.09 and 1,311.15

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Solution

The fourth proportional to 3,505.05, 5,253.09 and 1,311.15 is: 1,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.05 : 5,253.09 = 1,311.15 : x
  2. Step 2: Convert to fraction form
    3,505.05/5,253.09 = 1,311.15/x
  3. Step 3: Cross multiply
    3,505.05x = 5,253.09 × 1,311.15
  4. Step 4: Simplify right side
    3,505.05x = 6,887,588.95
  5. Step 5: Solve for x
    x = 6,887,588.95/3,505.05
  6. Step 6: Final answer
    x = 1,965.05

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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.