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Finding the Fourth Proportional to 5,634.22, 8,441.36 and 5,023.34

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Solution

The fourth proportional to 5,634.22, 8,441.36 and 5,023.34 is: 7,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.22 : 8,441.36 = 5,023.34 : x
  2. Step 2: Convert to fraction form
    5,634.22/8,441.36 = 5,023.34/x
  3. Step 3: Cross multiply
    5,634.22x = 8,441.36 × 5,023.34
  4. Step 4: Simplify right side
    5,634.22x = 42,403,821.34
  5. Step 5: Solve for x
    x = 42,403,821.34/5,634.22
  6. Step 6: Final answer
    x = 7,526.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.