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Finding the Fourth Proportional to 3,136.89, 4,705.20 and 1,488.54

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Solution

The fourth proportional to 3,136.89, 4,705.20 and 1,488.54 is: 2,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.89 : 4,705.20 = 1,488.54 : x
  2. Step 2: Convert to fraction form
    3,136.89/4,705.20 = 1,488.54/x
  3. Step 3: Cross multiply
    3,136.89x = 4,705.20 × 1,488.54
  4. Step 4: Simplify right side
    3,136.89x = 7,003,878.41
  5. Step 5: Solve for x
    x = 7,003,878.41/3,136.89
  6. Step 6: Final answer
    x = 2,232.75

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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.