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Finding the Fourth Proportional to 3,884.42, 5,824.27 and 1,746.90

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Solution

The fourth proportional to 3,884.42, 5,824.27 and 1,746.90 is: 2,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.42 : 5,824.27 = 1,746.90 : x
  2. Step 2: Convert to fraction form
    3,884.42/5,824.27 = 1,746.90/x
  3. Step 3: Cross multiply
    3,884.42x = 5,824.27 × 1,746.90
  4. Step 4: Simplify right side
    3,884.42x = 10,174,419.45
  5. Step 5: Solve for x
    x = 10,174,419.45/3,884.42
  6. Step 6: Final answer
    x = 2,619.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.