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Finding the Fourth Proportional to 5,435.70, 7,502.45 and 3,311.94

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Solution

The fourth proportional to 5,435.70, 7,502.45 and 3,311.94 is: 4,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.70 : 7,502.45 = 3,311.94 : x
  2. Step 2: Convert to fraction form
    5,435.70/7,502.45 = 3,311.94/x
  3. Step 3: Cross multiply
    5,435.70x = 7,502.45 × 3,311.94
  4. Step 4: Simplify right side
    5,435.70x = 24,847,664.25
  5. Step 5: Solve for x
    x = 24,847,664.25/5,435.70
  6. Step 6: Final answer
    x = 4,571.20

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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.