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Finding the Fourth Proportional to 3,978.06, 5,966.64 and 1,056.60

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Solution

The fourth proportional to 3,978.06, 5,966.64 and 1,056.60 is: 1,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.06 : 5,966.64 = 1,056.60 : x
  2. Step 2: Convert to fraction form
    3,978.06/5,966.64 = 1,056.60/x
  3. Step 3: Cross multiply
    3,978.06x = 5,966.64 × 1,056.60
  4. Step 4: Simplify right side
    3,978.06x = 6,304,351.82
  5. Step 5: Solve for x
    x = 6,304,351.82/3,978.06
  6. Step 6: Final answer
    x = 1,584.78

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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.