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Finding the Fourth Proportional to 5,490.50, 7,577.08 and 3,006.50

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Solution

The fourth proportional to 5,490.50, 7,577.08 and 3,006.50 is: 4,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.50 : 7,577.08 = 3,006.50 : x
  2. Step 2: Convert to fraction form
    5,490.50/7,577.08 = 3,006.50/x
  3. Step 3: Cross multiply
    5,490.50x = 7,577.08 × 3,006.50
  4. Step 4: Simplify right side
    5,490.50x = 22,780,491.02
  5. Step 5: Solve for x
    x = 22,780,491.02/5,490.50
  6. Step 6: Final answer
    x = 4,149.07

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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.