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Finding the Fourth Proportional to 5,184.46, 7,739.06 and 4,799

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Solution

The fourth proportional to 5,184.46, 7,739.06 and 4,799 is: 7,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.46 : 7,739.06 = 4,799 : x
  2. Step 2: Convert to fraction form
    5,184.46/7,739.06 = 4,799/x
  3. Step 3: Cross multiply
    5,184.46x = 7,739.06 × 4,799
  4. Step 4: Simplify right side
    5,184.46x = 37,139,748.94
  5. Step 5: Solve for x
    x = 37,139,748.94/5,184.46
  6. Step 6: Final answer
    x = 7,163.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.