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Finding the Fourth Proportional to 6,539.42, 9,028.58 and 5,024.04

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Solution

The fourth proportional to 6,539.42, 9,028.58 and 5,024.04 is: 6,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.42 : 9,028.58 = 5,024.04 : x
  2. Step 2: Convert to fraction form
    6,539.42/9,028.58 = 5,024.04/x
  3. Step 3: Cross multiply
    6,539.42x = 9,028.58 × 5,024.04
  4. Step 4: Simplify right side
    6,539.42x = 45,359,921.94
  5. Step 5: Solve for x
    x = 45,359,921.94/6,539.42
  6. Step 6: Final answer
    x = 6,936.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.