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Finding the Fourth Proportional to 6,539.18, 9,024.10 and 3,850.51

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Solution

The fourth proportional to 6,539.18, 9,024.10 and 3,850.51 is: 5,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.18 : 9,024.10 = 3,850.51 : x
  2. Step 2: Convert to fraction form
    6,539.18/9,024.10 = 3,850.51/x
  3. Step 3: Cross multiply
    6,539.18x = 9,024.10 × 3,850.51
  4. Step 4: Simplify right side
    6,539.18x = 34,747,372.02
  5. Step 5: Solve for x
    x = 34,747,372.02/6,539.18
  6. Step 6: Final answer
    x = 5,313.72

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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.