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Finding the Fourth Proportional to 3,475.37, 5,212.13 and 1,624.68

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Solution

The fourth proportional to 3,475.37, 5,212.13 and 1,624.68 is: 2,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.37 : 5,212.13 = 1,624.68 : x
  2. Step 2: Convert to fraction form
    3,475.37/5,212.13 = 1,624.68/x
  3. Step 3: Cross multiply
    3,475.37x = 5,212.13 × 1,624.68
  4. Step 4: Simplify right side
    3,475.37x = 8,468,035.25
  5. Step 5: Solve for x
    x = 8,468,035.25/3,475.37
  6. Step 6: Final answer
    x = 2,436.58

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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.