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Finding the Fourth Proportional to 3,186.53, 4,772.20 and 1,537.77

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Solution

The fourth proportional to 3,186.53, 4,772.20 and 1,537.77 is: 2,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.53 : 4,772.20 = 1,537.77 : x
  2. Step 2: Convert to fraction form
    3,186.53/4,772.20 = 1,537.77/x
  3. Step 3: Cross multiply
    3,186.53x = 4,772.20 × 1,537.77
  4. Step 4: Simplify right side
    3,186.53x = 7,338,545.99
  5. Step 5: Solve for x
    x = 7,338,545.99/3,186.53
  6. Step 6: Final answer
    x = 2,302.99

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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.