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Finding the Fourth Proportional to 5,640.96, 7,784.42 and 3,123.07

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Solution

The fourth proportional to 5,640.96, 7,784.42 and 3,123.07 is: 4,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.96 : 7,784.42 = 3,123.07 : x
  2. Step 2: Convert to fraction form
    5,640.96/7,784.42 = 3,123.07/x
  3. Step 3: Cross multiply
    5,640.96x = 7,784.42 × 3,123.07
  4. Step 4: Simplify right side
    5,640.96x = 24,311,253.49
  5. Step 5: Solve for x
    x = 24,311,253.49/5,640.96
  6. Step 6: Final answer
    x = 4,309.77

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1.5x scale

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.