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Finding the Fourth Proportional to 5,202.92, 7,808.28 and 1,916.84

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Solution

The fourth proportional to 5,202.92, 7,808.28 and 1,916.84 is: 2,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.92 : 7,808.28 = 1,916.84 : x
  2. Step 2: Convert to fraction form
    5,202.92/7,808.28 = 1,916.84/x
  3. Step 3: Cross multiply
    5,202.92x = 7,808.28 × 1,916.84
  4. Step 4: Simplify right side
    5,202.92x = 14,967,223.44
  5. Step 5: Solve for x
    x = 14,967,223.44/5,202.92
  6. Step 6: Final answer
    x = 2,876.70

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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.