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Finding the Fourth Proportional to 5,771.32, 8,655.90 and 1,611.52

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Solution

The fourth proportional to 5,771.32, 8,655.90 and 1,611.52 is: 2,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.32 : 8,655.90 = 1,611.52 : x
  2. Step 2: Convert to fraction form
    5,771.32/8,655.90 = 1,611.52/x
  3. Step 3: Cross multiply
    5,771.32x = 8,655.90 × 1,611.52
  4. Step 4: Simplify right side
    5,771.32x = 13,949,155.97
  5. Step 5: Solve for x
    x = 13,949,155.97/5,771.32
  6. Step 6: Final answer
    x = 2,416.98

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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.