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Finding the Fourth Proportional to 4,576.64, 6,848.55 and 3,962.46

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Solution

The fourth proportional to 4,576.64, 6,848.55 and 3,962.46 is: 5,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.64 : 6,848.55 = 3,962.46 : x
  2. Step 2: Convert to fraction form
    4,576.64/6,848.55 = 3,962.46/x
  3. Step 3: Cross multiply
    4,576.64x = 6,848.55 × 3,962.46
  4. Step 4: Simplify right side
    4,576.64x = 27,137,105.43
  5. Step 5: Solve for x
    x = 27,137,105.43/4,576.64
  6. Step 6: Final answer
    x = 5,929.49

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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.