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Finding the Fourth Proportional to 6,154.62, 8,493.99 and 3,670.62

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Solution

The fourth proportional to 6,154.62, 8,493.99 and 3,670.62 is: 5,065.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.62 : 8,493.99 = 3,670.62 : x
  2. Step 2: Convert to fraction form
    6,154.62/8,493.99 = 3,670.62/x
  3. Step 3: Cross multiply
    6,154.62x = 8,493.99 × 3,670.62
  4. Step 4: Simplify right side
    6,154.62x = 31,178,209.57
  5. Step 5: Solve for x
    x = 31,178,209.57/6,154.62
  6. Step 6: Final answer
    x = 5,065.82

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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.