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Finding the Fourth Proportional to 5,835.32, 8,752.30 and 1,731

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Solution

The fourth proportional to 5,835.32, 8,752.30 and 1,731 is: 2,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.32 : 8,752.30 = 1,731 : x
  2. Step 2: Convert to fraction form
    5,835.32/8,752.30 = 1,731/x
  3. Step 3: Cross multiply
    5,835.32x = 8,752.30 × 1,731
  4. Step 4: Simplify right side
    5,835.32x = 15,150,231.30
  5. Step 5: Solve for x
    x = 15,150,231.30/5,835.32
  6. Step 6: Final answer
    x = 2,596.30

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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.