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Finding the Fourth Proportional to 5,037, 6,951.06 and 2,829

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Solution

The fourth proportional to 5,037, 6,951.06 and 2,829 is: 3,904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037 : 6,951.06 = 2,829 : x
  2. Step 2: Convert to fraction form
    5,037/6,951.06 = 2,829/x
  3. Step 3: Cross multiply
    5,037x = 6,951.06 × 2,829
  4. Step 4: Simplify right side
    5,037x = 19,664,548.74
  5. Step 5: Solve for x
    x = 19,664,548.74/5,037
  6. Step 6: Final answer
    x = 3,904.02

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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.