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Finding the Fourth Proportional to 3,964.16, 5,946.26 and 1,042.40

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Solution

The fourth proportional to 3,964.16, 5,946.26 and 1,042.40 is: 1,563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.16 : 5,946.26 = 1,042.40 : x
  2. Step 2: Convert to fraction form
    3,964.16/5,946.26 = 1,042.40/x
  3. Step 3: Cross multiply
    3,964.16x = 5,946.26 × 1,042.40
  4. Step 4: Simplify right side
    3,964.16x = 6,198,381.42
  5. Step 5: Solve for x
    x = 6,198,381.42/3,964.16
  6. Step 6: Final answer
    x = 1,563.61

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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.