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Finding the Fourth Proportional to 4,566.27, 6,845.16 and 1,642.98

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Solution

The fourth proportional to 4,566.27, 6,845.16 and 1,642.98 is: 2,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.27 : 6,845.16 = 1,642.98 : x
  2. Step 2: Convert to fraction form
    4,566.27/6,845.16 = 1,642.98/x
  3. Step 3: Cross multiply
    4,566.27x = 6,845.16 × 1,642.98
  4. Step 4: Simplify right side
    4,566.27x = 11,246,460.98
  5. Step 5: Solve for x
    x = 11,246,460.98/4,566.27
  6. Step 6: Final answer
    x = 2,462.94

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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.