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Finding the Fourth Proportional to 3,235.39, 4,852.94 and 926.89

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Solution

The fourth proportional to 3,235.39, 4,852.94 and 926.89 is: 1,390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.39 : 4,852.94 = 926.89 : x
  2. Step 2: Convert to fraction form
    3,235.39/4,852.94 = 926.89/x
  3. Step 3: Cross multiply
    3,235.39x = 4,852.94 × 926.89
  4. Step 4: Simplify right side
    3,235.39x = 4,498,141.56
  5. Step 5: Solve for x
    x = 4,498,141.56/3,235.39
  6. Step 6: Final answer
    x = 1,390.29

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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.