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Finding the Fourth Proportional to 4,654.14, 6,982.02 and 2,464.71

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Solution

The fourth proportional to 4,654.14, 6,982.02 and 2,464.71 is: 3,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.14 : 6,982.02 = 2,464.71 : x
  2. Step 2: Convert to fraction form
    4,654.14/6,982.02 = 2,464.71/x
  3. Step 3: Cross multiply
    4,654.14x = 6,982.02 × 2,464.71
  4. Step 4: Simplify right side
    4,654.14x = 17,208,654.51
  5. Step 5: Solve for x
    x = 17,208,654.51/4,654.14
  6. Step 6: Final answer
    x = 3,697.49

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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.