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Finding the Fourth Proportional to 4,668.41, 6,442.16 and 2,899.98

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Solution

The fourth proportional to 4,668.41, 6,442.16 and 2,899.98 is: 4,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.41 : 6,442.16 = 2,899.98 : x
  2. Step 2: Convert to fraction form
    4,668.41/6,442.16 = 2,899.98/x
  3. Step 3: Cross multiply
    4,668.41x = 6,442.16 × 2,899.98
  4. Step 4: Simplify right side
    4,668.41x = 18,682,120.66
  5. Step 5: Solve for x
    x = 18,682,120.66/4,668.41
  6. Step 6: Final answer
    x = 4,001.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.