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Finding the Fourth Proportional to 4,727.67, 6,521.67 and 2,838.30

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Solution

The fourth proportional to 4,727.67, 6,521.67 and 2,838.30 is: 3,915.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.67 : 6,521.67 = 2,838.30 : x
  2. Step 2: Convert to fraction form
    4,727.67/6,521.67 = 2,838.30/x
  3. Step 3: Cross multiply
    4,727.67x = 6,521.67 × 2,838.30
  4. Step 4: Simplify right side
    4,727.67x = 18,510,455.96
  5. Step 5: Solve for x
    x = 18,510,455.96/4,727.67
  6. Step 6: Final answer
    x = 3,915.34

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Why These Related Problems?

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