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Finding the Fourth Proportional to 3,477.53, 5,212.78 and 1,529.39

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Solution

The fourth proportional to 3,477.53, 5,212.78 and 1,529.39 is: 2,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.53 : 5,212.78 = 1,529.39 : x
  2. Step 2: Convert to fraction form
    3,477.53/5,212.78 = 1,529.39/x
  3. Step 3: Cross multiply
    3,477.53x = 5,212.78 × 1,529.39
  4. Step 4: Simplify right side
    3,477.53x = 7,972,343.72
  5. Step 5: Solve for x
    x = 7,972,343.72/3,477.53
  6. Step 6: Final answer
    x = 2,292.53

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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.