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Finding the Fourth Proportional to 3,431.70, 4,732.19 and 2,935.98

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Solution

The fourth proportional to 3,431.70, 4,732.19 and 2,935.98 is: 4,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.70 : 4,732.19 = 2,935.98 : x
  2. Step 2: Convert to fraction form
    3,431.70/4,732.19 = 2,935.98/x
  3. Step 3: Cross multiply
    3,431.70x = 4,732.19 × 2,935.98
  4. Step 4: Simplify right side
    3,431.70x = 13,893,600.52
  5. Step 5: Solve for x
    x = 13,893,600.52/3,431.70
  6. Step 6: Final answer
    x = 4,048.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.