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Finding the Fourth Proportional to 3,669.54, 5,504.31 and 2,578.77

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Solution

The fourth proportional to 3,669.54, 5,504.31 and 2,578.77 is: 3,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.54 : 5,504.31 = 2,578.77 : x
  2. Step 2: Convert to fraction form
    3,669.54/5,504.31 = 2,578.77/x
  3. Step 3: Cross multiply
    3,669.54x = 5,504.31 × 2,578.77
  4. Step 4: Simplify right side
    3,669.54x = 14,194,349.50
  5. Step 5: Solve for x
    x = 14,194,349.50/3,669.54
  6. Step 6: Final answer
    x = 3,868.16

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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.