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Finding the Fourth Proportional to 4,512.74, 6,735.62 and 4,235.72

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Solution

The fourth proportional to 4,512.74, 6,735.62 and 4,235.72 is: 6,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.74 : 6,735.62 = 4,235.72 : x
  2. Step 2: Convert to fraction form
    4,512.74/6,735.62 = 4,235.72/x
  3. Step 3: Cross multiply
    4,512.74x = 6,735.62 × 4,235.72
  4. Step 4: Simplify right side
    4,512.74x = 28,530,177.26
  5. Step 5: Solve for x
    x = 28,530,177.26/4,512.74
  6. Step 6: Final answer
    x = 6,322.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.