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Finding the Fourth Proportional to 4,654.33, 6,982.71 and 1,534.81

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Solution

The fourth proportional to 4,654.33, 6,982.71 and 1,534.81 is: 2,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.33 : 6,982.71 = 1,534.81 : x
  2. Step 2: Convert to fraction form
    4,654.33/6,982.71 = 1,534.81/x
  3. Step 3: Cross multiply
    4,654.33x = 6,982.71 × 1,534.81
  4. Step 4: Simplify right side
    4,654.33x = 10,717,133.14
  5. Step 5: Solve for x
    x = 10,717,133.14/4,654.33
  6. Step 6: Final answer
    x = 2,302.62

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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.