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Finding the Fourth Proportional to 4,649.72, 6,416.58 and 2,553.80

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Solution

The fourth proportional to 4,649.72, 6,416.58 and 2,553.80 is: 3,524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.72 : 6,416.58 = 2,553.80 : x
  2. Step 2: Convert to fraction form
    4,649.72/6,416.58 = 2,553.80/x
  3. Step 3: Cross multiply
    4,649.72x = 6,416.58 × 2,553.80
  4. Step 4: Simplify right side
    4,649.72x = 16,386,662.00
  5. Step 5: Solve for x
    x = 16,386,662.00/4,649.72
  6. Step 6: Final answer
    x = 3,524.23

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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.