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Finding the Fourth Proportional to 4,649.28, 6,416.16 and 2,553.60

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Solution

The fourth proportional to 4,649.28, 6,416.16 and 2,553.60 is: 3,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.28 : 6,416.16 = 2,553.60 : x
  2. Step 2: Convert to fraction form
    4,649.28/6,416.16 = 2,553.60/x
  3. Step 3: Cross multiply
    4,649.28x = 6,416.16 × 2,553.60
  4. Step 4: Simplify right side
    4,649.28x = 16,384,306.18
  5. Step 5: Solve for x
    x = 16,384,306.18/4,649.28
  6. Step 6: Final answer
    x = 3,524.05

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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.