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Finding the Fourth Proportional to 5,741.64, 8,607.21 and 2,234.04

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Solution

The fourth proportional to 5,741.64, 8,607.21 and 2,234.04 is: 3,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.64 : 8,607.21 = 2,234.04 : x
  2. Step 2: Convert to fraction form
    5,741.64/8,607.21 = 2,234.04/x
  3. Step 3: Cross multiply
    5,741.64x = 8,607.21 × 2,234.04
  4. Step 4: Simplify right side
    5,741.64x = 19,228,851.43
  5. Step 5: Solve for x
    x = 19,228,851.43/5,741.64
  6. Step 6: Final answer
    x = 3,349.02

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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.