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Finding the Fourth Proportional to 5,741.60, 8,612.40 and 5,644.40

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Solution

The fourth proportional to 5,741.60, 8,612.40 and 5,644.40 is: 8,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.60 : 8,612.40 = 5,644.40 : x
  2. Step 2: Convert to fraction form
    5,741.60/8,612.40 = 5,644.40/x
  3. Step 3: Cross multiply
    5,741.60x = 8,612.40 × 5,644.40
  4. Step 4: Simplify right side
    5,741.60x = 48,611,830.56
  5. Step 5: Solve for x
    x = 48,611,830.56/5,741.60
  6. Step 6: Final answer
    x = 8,466.60

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Similar ratio
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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.