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Finding the Fourth Proportional to 4,477.32, 6,713.10 and 2,136.06

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Solution

The fourth proportional to 4,477.32, 6,713.10 and 2,136.06 is: 3,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.32 : 6,713.10 = 2,136.06 : x
  2. Step 2: Convert to fraction form
    4,477.32/6,713.10 = 2,136.06/x
  3. Step 3: Cross multiply
    4,477.32x = 6,713.10 × 2,136.06
  4. Step 4: Simplify right side
    4,477.32x = 14,339,584.39
  5. Step 5: Solve for x
    x = 14,339,584.39/4,477.32
  6. Step 6: Final answer
    x = 3,202.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.