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Finding the Fourth Proportional to 3,136.14, 4,704.18 and 1,403.55

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Solution

The fourth proportional to 3,136.14, 4,704.18 and 1,403.55 is: 2,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.14 : 4,704.18 = 1,403.55 : x
  2. Step 2: Convert to fraction form
    3,136.14/4,704.18 = 1,403.55/x
  3. Step 3: Cross multiply
    3,136.14x = 4,704.18 × 1,403.55
  4. Step 4: Simplify right side
    3,136.14x = 6,602,551.84
  5. Step 5: Solve for x
    x = 6,602,551.84/3,136.14
  6. Step 6: Final answer
    x = 2,105.31

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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.