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Finding the Fourth Proportional to 3,956.70, 5,935.10 and 1,035

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Solution

The fourth proportional to 3,956.70, 5,935.10 and 1,035 is: 1,552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.70 : 5,935.10 = 1,035 : x
  2. Step 2: Convert to fraction form
    3,956.70/5,935.10 = 1,035/x
  3. Step 3: Cross multiply
    3,956.70x = 5,935.10 × 1,035
  4. Step 4: Simplify right side
    3,956.70x = 6,142,828.50
  5. Step 5: Solve for x
    x = 6,142,828.50/3,956.70
  6. Step 6: Final answer
    x = 1,552.51

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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.