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Finding the Fourth Proportional to 4,984.73, 7,477.30 and 1,864.42

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Solution

The fourth proportional to 4,984.73, 7,477.30 and 1,864.42 is: 2,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.73 : 7,477.30 = 1,864.42 : x
  2. Step 2: Convert to fraction form
    4,984.73/7,477.30 = 1,864.42/x
  3. Step 3: Cross multiply
    4,984.73x = 7,477.30 × 1,864.42
  4. Step 4: Simplify right side
    4,984.73x = 13,940,827.67
  5. Step 5: Solve for x
    x = 13,940,827.67/4,984.73
  6. Step 6: Final answer
    x = 2,796.71

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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.