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Finding the Fourth Proportional to 5,644.32, 8,466.48 and 2,361.12

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Solution

The fourth proportional to 5,644.32, 8,466.48 and 2,361.12 is: 3,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.32 : 8,466.48 = 2,361.12 : x
  2. Step 2: Convert to fraction form
    5,644.32/8,466.48 = 2,361.12/x
  3. Step 3: Cross multiply
    5,644.32x = 8,466.48 × 2,361.12
  4. Step 4: Simplify right side
    5,644.32x = 19,990,375.26
  5. Step 5: Solve for x
    x = 19,990,375.26/5,644.32
  6. Step 6: Final answer
    x = 3,541.68

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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.