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Finding the Fourth Proportional to 5,671.68, 7,825.92 and 3,314.16

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Solution

The fourth proportional to 5,671.68, 7,825.92 and 3,314.16 is: 4,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.68 : 7,825.92 = 3,314.16 : x
  2. Step 2: Convert to fraction form
    5,671.68/7,825.92 = 3,314.16/x
  3. Step 3: Cross multiply
    5,671.68x = 7,825.92 × 3,314.16
  4. Step 4: Simplify right side
    5,671.68x = 25,936,351.03
  5. Step 5: Solve for x
    x = 25,936,351.03/5,671.68
  6. Step 6: Final answer
    x = 4,572.96

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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.