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Finding the Fourth Proportional to 5,064.46, 7,589.13 and 4,146.46

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Solution

The fourth proportional to 5,064.46, 7,589.13 and 4,146.46 is: 6,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.46 : 7,589.13 = 4,146.46 : x
  2. Step 2: Convert to fraction form
    5,064.46/7,589.13 = 4,146.46/x
  3. Step 3: Cross multiply
    5,064.46x = 7,589.13 × 4,146.46
  4. Step 4: Simplify right side
    5,064.46x = 31,468,023.98
  5. Step 5: Solve for x
    x = 31,468,023.98/5,064.46
  6. Step 6: Final answer
    x = 6,213.50

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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.