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Finding the Fourth Proportional to 5,848.64, 8,772.48 and 2,728

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Solution

The fourth proportional to 5,848.64, 8,772.48 and 2,728 is: 4,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.64 : 8,772.48 = 2,728 : x
  2. Step 2: Convert to fraction form
    5,848.64/8,772.48 = 2,728/x
  3. Step 3: Cross multiply
    5,848.64x = 8,772.48 × 2,728
  4. Step 4: Simplify right side
    5,848.64x = 23,931,325.44
  5. Step 5: Solve for x
    x = 23,931,325.44/5,848.64
  6. Step 6: Final answer
    x = 4,091.78

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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.