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Finding the Fourth Proportional to 3,424.63, 5,135.73 and 1,232.77

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Solution

The fourth proportional to 3,424.63, 5,135.73 and 1,232.77 is: 1,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.63 : 5,135.73 = 1,232.77 : x
  2. Step 2: Convert to fraction form
    3,424.63/5,135.73 = 1,232.77/x
  3. Step 3: Cross multiply
    3,424.63x = 5,135.73 × 1,232.77
  4. Step 4: Simplify right side
    3,424.63x = 6,331,173.87
  5. Step 5: Solve for x
    x = 6,331,173.87/3,424.63
  6. Step 6: Final answer
    x = 1,848.72

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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.