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Finding the Fourth Proportional to 3,493.77, 4,819.72 and 2,547.54

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Solution

The fourth proportional to 3,493.77, 4,819.72 and 2,547.54 is: 3,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.77 : 4,819.72 = 2,547.54 : x
  2. Step 2: Convert to fraction form
    3,493.77/4,819.72 = 2,547.54/x
  3. Step 3: Cross multiply
    3,493.77x = 4,819.72 × 2,547.54
  4. Step 4: Simplify right side
    3,493.77x = 12,278,429.49
  5. Step 5: Solve for x
    x = 12,278,429.49/3,493.77
  6. Step 6: Final answer
    x = 3,514.38

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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.