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Finding the Fourth Proportional to 3,722.34, 5,136 and 2,150.16

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Solution

The fourth proportional to 3,722.34, 5,136 and 2,150.16 is: 2,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.34 : 5,136 = 2,150.16 : x
  2. Step 2: Convert to fraction form
    3,722.34/5,136 = 2,150.16/x
  3. Step 3: Cross multiply
    3,722.34x = 5,136 × 2,150.16
  4. Step 4: Simplify right side
    3,722.34x = 11,043,221.76
  5. Step 5: Solve for x
    x = 11,043,221.76/3,722.34
  6. Step 6: Final answer
    x = 2,966.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.