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Finding the Fourth Proportional to 4,819.64, 6,649.26 and 3,563.72

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Solution

The fourth proportional to 4,819.64, 6,649.26 and 3,563.72 is: 4,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.64 : 6,649.26 = 3,563.72 : x
  2. Step 2: Convert to fraction form
    4,819.64/6,649.26 = 3,563.72/x
  3. Step 3: Cross multiply
    4,819.64x = 6,649.26 × 3,563.72
  4. Step 4: Simplify right side
    4,819.64x = 23,696,100.85
  5. Step 5: Solve for x
    x = 23,696,100.85/4,819.64
  6. Step 6: Final answer
    x = 4,916.57

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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.