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Finding the Fourth Proportional to 3,622.64, 4,999.44 and 2,029.25

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Solution

The fourth proportional to 3,622.64, 4,999.44 and 2,029.25 is: 2,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.64 : 4,999.44 = 2,029.25 : x
  2. Step 2: Convert to fraction form
    3,622.64/4,999.44 = 2,029.25/x
  3. Step 3: Cross multiply
    3,622.64x = 4,999.44 × 2,029.25
  4. Step 4: Simplify right side
    3,622.64x = 10,145,088.62
  5. Step 5: Solve for x
    x = 10,145,088.62/3,622.64
  6. Step 6: Final answer
    x = 2,800.47

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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.