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Finding the Fourth Proportional to 4,602.27, 6,904.31 and 2,654.02

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Solution

The fourth proportional to 4,602.27, 6,904.31 and 2,654.02 is: 3,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.27 : 6,904.31 = 2,654.02 : x
  2. Step 2: Convert to fraction form
    4,602.27/6,904.31 = 2,654.02/x
  3. Step 3: Cross multiply
    4,602.27x = 6,904.31 × 2,654.02
  4. Step 4: Simplify right side
    4,602.27x = 18,324,155.74
  5. Step 5: Solve for x
    x = 18,324,155.74/4,602.27
  6. Step 6: Final answer
    x = 3,981.55

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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.