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Finding the Fourth Proportional to 5,621.74, 7,755.24 and 3,634.00

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Solution

The fourth proportional to 5,621.74, 7,755.24 and 3,634.00 is: 5,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.74 : 7,755.24 = 3,634.00 : x
  2. Step 2: Convert to fraction form
    5,621.74/7,755.24 = 3,634.00/x
  3. Step 3: Cross multiply
    5,621.74x = 7,755.24 × 3,634.00
  4. Step 4: Simplify right side
    5,621.74x = 28,182,536.40
  5. Step 5: Solve for x
    x = 28,182,536.40/5,621.74
  6. Step 6: Final answer
    x = 5,013.14

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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.