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Finding the Fourth Proportional to 3,809.58, 5,709.66 and 2,248

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Solution

The fourth proportional to 3,809.58, 5,709.66 and 2,248 is: 3,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.58 : 5,709.66 = 2,248 : x
  2. Step 2: Convert to fraction form
    3,809.58/5,709.66 = 2,248/x
  3. Step 3: Cross multiply
    3,809.58x = 5,709.66 × 2,248
  4. Step 4: Simplify right side
    3,809.58x = 12,835,315.68
  5. Step 5: Solve for x
    x = 12,835,315.68/3,809.58
  6. Step 6: Final answer
    x = 3,369.22

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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.