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Finding the Fourth Proportional to 3,968.70, 5,953.05 and 1,046.76

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Solution

The fourth proportional to 3,968.70, 5,953.05 and 1,046.76 is: 1,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.70 : 5,953.05 = 1,046.76 : x
  2. Step 2: Convert to fraction form
    3,968.70/5,953.05 = 1,046.76/x
  3. Step 3: Cross multiply
    3,968.70x = 5,953.05 × 1,046.76
  4. Step 4: Simplify right side
    3,968.70x = 6,231,414.62
  5. Step 5: Solve for x
    x = 6,231,414.62/3,968.70
  6. Step 6: Final answer
    x = 1,570.14

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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.