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Finding the Fourth Proportional to 5,768.64, 7,962.36 and 3,380.58

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Solution

The fourth proportional to 5,768.64, 7,962.36 and 3,380.58 is: 4,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.64 : 7,962.36 = 3,380.58 : x
  2. Step 2: Convert to fraction form
    5,768.64/7,962.36 = 3,380.58/x
  3. Step 3: Cross multiply
    5,768.64x = 7,962.36 × 3,380.58
  4. Step 4: Simplify right side
    5,768.64x = 26,917,394.97
  5. Step 5: Solve for x
    x = 26,917,394.97/5,768.64
  6. Step 6: Final answer
    x = 4,666.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.