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Finding the Fourth Proportional to 5,640.68, 7,783.38 and 3,281

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Solution

The fourth proportional to 5,640.68, 7,783.38 and 3,281 is: 4,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.68 : 7,783.38 = 3,281 : x
  2. Step 2: Convert to fraction form
    5,640.68/7,783.38 = 3,281/x
  3. Step 3: Cross multiply
    5,640.68x = 7,783.38 × 3,281
  4. Step 4: Simplify right side
    5,640.68x = 25,537,269.78
  5. Step 5: Solve for x
    x = 25,537,269.78/5,640.68
  6. Step 6: Final answer
    x = 4,527.34

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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.