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Finding the Fourth Proportional to 5,640.98, 7,784.46 and 3,123.04

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Solution

The fourth proportional to 5,640.98, 7,784.46 and 3,123.04 is: 4,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.98 : 7,784.46 = 3,123.04 : x
  2. Step 2: Convert to fraction form
    5,640.98/7,784.46 = 3,123.04/x
  3. Step 3: Cross multiply
    5,640.98x = 7,784.46 × 3,123.04
  4. Step 4: Simplify right side
    5,640.98x = 24,311,160.50
  5. Step 5: Solve for x
    x = 24,311,160.50/5,640.98
  6. Step 6: Final answer
    x = 4,309.74

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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.