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Finding the Fourth Proportional to 3,618, 4,962.81 and 3,586.80

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Solution

The fourth proportional to 3,618, 4,962.81 and 3,586.80 is: 4,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618 : 4,962.81 = 3,586.80 : x
  2. Step 2: Convert to fraction form
    3,618/4,962.81 = 3,586.80/x
  3. Step 3: Cross multiply
    3,618x = 4,962.81 × 3,586.80
  4. Step 4: Simplify right side
    3,618x = 17,800,606.91
  5. Step 5: Solve for x
    x = 17,800,606.91/3,618
  6. Step 6: Final answer
    x = 4,920.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.