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Finding the Fourth Proportional to 4,442.91, 6,668.46 and 4,175.01

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Solution

The fourth proportional to 4,442.91, 6,668.46 and 4,175.01 is: 6,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.91 : 6,668.46 = 4,175.01 : x
  2. Step 2: Convert to fraction form
    4,442.91/6,668.46 = 4,175.01/x
  3. Step 3: Cross multiply
    4,442.91x = 6,668.46 × 4,175.01
  4. Step 4: Simplify right side
    4,442.91x = 27,840,887.18
  5. Step 5: Solve for x
    x = 27,840,887.18/4,442.91
  6. Step 6: Final answer
    x = 6,266.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.