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Finding the Fourth Proportional to 4,815.60, 6,649.28 and 3,694.76

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Solution

The fourth proportional to 4,815.60, 6,649.28 and 3,694.76 is: 5,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.60 : 6,649.28 = 3,694.76 : x
  2. Step 2: Convert to fraction form
    4,815.60/6,649.28 = 3,694.76/x
  3. Step 3: Cross multiply
    4,815.60x = 6,649.28 × 3,694.76
  4. Step 4: Simplify right side
    4,815.60x = 24,567,493.77
  5. Step 5: Solve for x
    x = 24,567,493.77/4,815.60
  6. Step 6: Final answer
    x = 5,101.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.