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Finding the Fourth Proportional to 4,654.99, 6,982.76 and 1,536.02

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Solution

The fourth proportional to 4,654.99, 6,982.76 and 1,536.02 is: 2,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.99 : 6,982.76 = 1,536.02 : x
  2. Step 2: Convert to fraction form
    4,654.99/6,982.76 = 1,536.02/x
  3. Step 3: Cross multiply
    4,654.99x = 6,982.76 × 1,536.02
  4. Step 4: Simplify right side
    4,654.99x = 10,725,659.02
  5. Step 5: Solve for x
    x = 10,725,659.02/4,654.99
  6. Step 6: Final answer
    x = 2,304.12

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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.