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Finding the Fourth Proportional to 4,891.92, 7,338.60 and 1,772.16

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Solution

The fourth proportional to 4,891.92, 7,338.60 and 1,772.16 is: 2,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.92 : 7,338.60 = 1,772.16 : x
  2. Step 2: Convert to fraction form
    4,891.92/7,338.60 = 1,772.16/x
  3. Step 3: Cross multiply
    4,891.92x = 7,338.60 × 1,772.16
  4. Step 4: Simplify right side
    4,891.92x = 13,005,173.38
  5. Step 5: Solve for x
    x = 13,005,173.38/4,891.92
  6. Step 6: Final answer
    x = 2,658.50

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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.