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Finding the Fourth Proportional to 3,136.83, 4,705.35 and 1,189.17

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Solution

The fourth proportional to 3,136.83, 4,705.35 and 1,189.17 is: 1,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.83 : 4,705.35 = 1,189.17 : x
  2. Step 2: Convert to fraction form
    3,136.83/4,705.35 = 1,189.17/x
  3. Step 3: Cross multiply
    3,136.83x = 4,705.35 × 1,189.17
  4. Step 4: Simplify right side
    3,136.83x = 5,595,461.06
  5. Step 5: Solve for x
    x = 5,595,461.06/3,136.83
  6. Step 6: Final answer
    x = 1,783.79

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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.