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Finding the Fourth Proportional to 4,884.73, 6,740.91 and 2,646.65

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Solution

The fourth proportional to 4,884.73, 6,740.91 and 2,646.65 is: 3,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.73 : 6,740.91 = 2,646.65 : x
  2. Step 2: Convert to fraction form
    4,884.73/6,740.91 = 2,646.65/x
  3. Step 3: Cross multiply
    4,884.73x = 6,740.91 × 2,646.65
  4. Step 4: Simplify right side
    4,884.73x = 17,840,836.38
  5. Step 5: Solve for x
    x = 17,840,836.38/4,884.73
  6. Step 6: Final answer
    x = 3,652.37

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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.