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Finding the Fourth Proportional to 4,792.35, 7,183.02 and 1,869.06

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Solution

The fourth proportional to 4,792.35, 7,183.02 and 1,869.06 is: 2,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.35 : 7,183.02 = 1,869.06 : x
  2. Step 2: Convert to fraction form
    4,792.35/7,183.02 = 1,869.06/x
  3. Step 3: Cross multiply
    4,792.35x = 7,183.02 × 1,869.06
  4. Step 4: Simplify right side
    4,792.35x = 13,425,495.36
  5. Step 5: Solve for x
    x = 13,425,495.36/4,792.35
  6. Step 6: Final answer
    x = 2,801.44

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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.