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Finding the Fourth Proportional to 5,741.72, 8,611.45 and 1,580.66

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Solution

The fourth proportional to 5,741.72, 8,611.45 and 1,580.66 is: 2,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.72 : 8,611.45 = 1,580.66 : x
  2. Step 2: Convert to fraction form
    5,741.72/8,611.45 = 1,580.66/x
  3. Step 3: Cross multiply
    5,741.72x = 8,611.45 × 1,580.66
  4. Step 4: Simplify right side
    5,741.72x = 13,611,774.56
  5. Step 5: Solve for x
    x = 13,611,774.56/5,741.72
  6. Step 6: Final answer
    x = 2,370.68

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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.