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Finding the Fourth Proportional to 3,188.53, 4,401.09 and 1,929.59

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Solution

The fourth proportional to 3,188.53, 4,401.09 and 1,929.59 is: 2,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.53 : 4,401.09 = 1,929.59 : x
  2. Step 2: Convert to fraction form
    3,188.53/4,401.09 = 1,929.59/x
  3. Step 3: Cross multiply
    3,188.53x = 4,401.09 × 1,929.59
  4. Step 4: Simplify right side
    3,188.53x = 8,492,299.25
  5. Step 5: Solve for x
    x = 8,492,299.25/3,188.53
  6. Step 6: Final answer
    x = 2,663.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.