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Finding the Fourth Proportional to 5,671.14, 7,824.96 and 3,312.22

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Solution

The fourth proportional to 5,671.14, 7,824.96 and 3,312.22 is: 4,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.14 : 7,824.96 = 3,312.22 : x
  2. Step 2: Convert to fraction form
    5,671.14/7,824.96 = 3,312.22/x
  3. Step 3: Cross multiply
    5,671.14x = 7,824.96 × 3,312.22
  4. Step 4: Simplify right side
    5,671.14x = 25,917,989.01
  5. Step 5: Solve for x
    x = 25,917,989.01/5,671.14
  6. Step 6: Final answer
    x = 4,570.16

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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.