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Finding the Fourth Proportional to 5,957.87, 8,936.11 and 1,575.67

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Solution

The fourth proportional to 5,957.87, 8,936.11 and 1,575.67 is: 2,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.87 : 8,936.11 = 1,575.67 : x
  2. Step 2: Convert to fraction form
    5,957.87/8,936.11 = 1,575.67/x
  3. Step 3: Cross multiply
    5,957.87x = 8,936.11 × 1,575.67
  4. Step 4: Simplify right side
    5,957.87x = 14,080,315.76
  5. Step 5: Solve for x
    x = 14,080,315.76/5,957.87
  6. Step 6: Final answer
    x = 2,363.32

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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.