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Finding the Fourth Proportional to 5,277.62, 7,916.76 and 1,767.48

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Solution

The fourth proportional to 5,277.62, 7,916.76 and 1,767.48 is: 2,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.62 : 7,916.76 = 1,767.48 : x
  2. Step 2: Convert to fraction form
    5,277.62/7,916.76 = 1,767.48/x
  3. Step 3: Cross multiply
    5,277.62x = 7,916.76 × 1,767.48
  4. Step 4: Simplify right side
    5,277.62x = 13,992,714.96
  5. Step 5: Solve for x
    x = 13,992,714.96/5,277.62
  6. Step 6: Final answer
    x = 2,651.33

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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.