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Finding the Fourth Proportional to 5,803, 8,697.20 and 4,162.76

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Solution

The fourth proportional to 5,803, 8,697.20 and 4,162.76 is: 6,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803 : 8,697.20 = 4,162.76 : x
  2. Step 2: Convert to fraction form
    5,803/8,697.20 = 4,162.76/x
  3. Step 3: Cross multiply
    5,803x = 8,697.20 × 4,162.76
  4. Step 4: Simplify right side
    5,803x = 36,204,356.27
  5. Step 5: Solve for x
    x = 36,204,356.27/5,803
  6. Step 6: Final answer
    x = 6,238.90

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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.