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Finding the Fourth Proportional to 3,968.56, 5,953.18 and 1,046.88

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Solution

The fourth proportional to 3,968.56, 5,953.18 and 1,046.88 is: 1,570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.56 : 5,953.18 = 1,046.88 : x
  2. Step 2: Convert to fraction form
    3,968.56/5,953.18 = 1,046.88/x
  3. Step 3: Cross multiply
    3,968.56x = 5,953.18 × 1,046.88
  4. Step 4: Simplify right side
    3,968.56x = 6,232,265.08
  5. Step 5: Solve for x
    x = 6,232,265.08/3,968.56
  6. Step 6: Final answer
    x = 1,570.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.