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Finding the Fourth Proportional to 3,764.32, 5,649.94 and 1,916.75

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Solution

The fourth proportional to 3,764.32, 5,649.94 and 1,916.75 is: 2,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.32 : 5,649.94 = 1,916.75 : x
  2. Step 2: Convert to fraction form
    3,764.32/5,649.94 = 1,916.75/x
  3. Step 3: Cross multiply
    3,764.32x = 5,649.94 × 1,916.75
  4. Step 4: Simplify right side
    3,764.32x = 10,829,522.50
  5. Step 5: Solve for x
    x = 10,829,522.50/3,764.32
  6. Step 6: Final answer
    x = 2,876.89

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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.