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Finding the Fourth Proportional to 3,475.07, 5,212.84 and 1,223.33

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Solution

The fourth proportional to 3,475.07, 5,212.84 and 1,223.33 is: 1,835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.07 : 5,212.84 = 1,223.33 : x
  2. Step 2: Convert to fraction form
    3,475.07/5,212.84 = 1,223.33/x
  3. Step 3: Cross multiply
    3,475.07x = 5,212.84 × 1,223.33
  4. Step 4: Simplify right side
    3,475.07x = 6,377,040.41
  5. Step 5: Solve for x
    x = 6,377,040.41/3,475.07
  6. Step 6: Final answer
    x = 1,835.08

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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.