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Finding the Fourth Proportional to 3,712.99, 5,563.62 and 1,369.77

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Solution

The fourth proportional to 3,712.99, 5,563.62 and 1,369.77 is: 2,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.99 : 5,563.62 = 1,369.77 : x
  2. Step 2: Convert to fraction form
    3,712.99/5,563.62 = 1,369.77/x
  3. Step 3: Cross multiply
    3,712.99x = 5,563.62 × 1,369.77
  4. Step 4: Simplify right side
    3,712.99x = 7,620,875.38
  5. Step 5: Solve for x
    x = 7,620,875.38/3,712.99
  6. Step 6: Final answer
    x = 2,052.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.