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Finding the Fourth Proportional to 6,539.49, 9,029.16 and 4,024.98

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Solution

The fourth proportional to 6,539.49, 9,029.16 and 4,024.98 is: 5,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.49 : 9,029.16 = 4,024.98 : x
  2. Step 2: Convert to fraction form
    6,539.49/9,029.16 = 4,024.98/x
  3. Step 3: Cross multiply
    6,539.49x = 9,029.16 × 4,024.98
  4. Step 4: Simplify right side
    6,539.49x = 36,342,188.42
  5. Step 5: Solve for x
    x = 36,342,188.42/6,539.49
  6. Step 6: Final answer
    x = 5,557.34

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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.