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Finding the Fourth Proportional to 5,731.53, 8,599.77 and 3,100.88

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Solution

The fourth proportional to 5,731.53, 8,599.77 and 3,100.88 is: 4,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.53 : 8,599.77 = 3,100.88 : x
  2. Step 2: Convert to fraction form
    5,731.53/8,599.77 = 3,100.88/x
  3. Step 3: Cross multiply
    5,731.53x = 8,599.77 × 3,100.88
  4. Step 4: Simplify right side
    5,731.53x = 26,666,876.30
  5. Step 5: Solve for x
    x = 26,666,876.30/5,731.53
  6. Step 6: Final answer
    x = 4,652.67

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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.