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Finding the Fourth Proportional to 5,824.23, 8,035.69 and 5,262.90

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Solution

The fourth proportional to 5,824.23, 8,035.69 and 5,262.90 is: 7,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.23 : 8,035.69 = 5,262.90 : x
  2. Step 2: Convert to fraction form
    5,824.23/8,035.69 = 5,262.90/x
  3. Step 3: Cross multiply
    5,824.23x = 8,035.69 × 5,262.90
  4. Step 4: Simplify right side
    5,824.23x = 42,291,032.90
  5. Step 5: Solve for x
    x = 42,291,032.90/5,824.23
  6. Step 6: Final answer
    x = 7,261.22

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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.