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Finding the Fourth Proportional to 4,660.62, 6,429.84 and 2,670.12

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Solution

The fourth proportional to 4,660.62, 6,429.84 and 2,670.12 is: 3,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.62 : 6,429.84 = 2,670.12 : x
  2. Step 2: Convert to fraction form
    4,660.62/6,429.84 = 2,670.12/x
  3. Step 3: Cross multiply
    4,660.62x = 6,429.84 × 2,670.12
  4. Step 4: Simplify right side
    4,660.62x = 17,168,444.38
  5. Step 5: Solve for x
    x = 17,168,444.38/4,660.62
  6. Step 6: Final answer
    x = 3,683.73

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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.