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Finding the Fourth Proportional to 5,623.72, 7,763.01 and 3,634.44

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Solution

The fourth proportional to 5,623.72, 7,763.01 and 3,634.44 is: 5,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.72 : 7,763.01 = 3,634.44 : x
  2. Step 2: Convert to fraction form
    5,623.72/7,763.01 = 3,634.44/x
  3. Step 3: Cross multiply
    5,623.72x = 7,763.01 × 3,634.44
  4. Step 4: Simplify right side
    5,623.72x = 28,214,155.25
  5. Step 5: Solve for x
    x = 28,214,155.25/5,623.72
  6. Step 6: Final answer
    x = 5,017.00

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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.