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Finding the Fourth Proportional to 4,668.30, 7,002.09 and 2,447.10

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Solution

The fourth proportional to 4,668.30, 7,002.09 and 2,447.10 is: 3,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.30 : 7,002.09 = 2,447.10 : x
  2. Step 2: Convert to fraction form
    4,668.30/7,002.09 = 2,447.10/x
  3. Step 3: Cross multiply
    4,668.30x = 7,002.09 × 2,447.10
  4. Step 4: Simplify right side
    4,668.30x = 17,134,814.44
  5. Step 5: Solve for x
    x = 17,134,814.44/4,668.30
  6. Step 6: Final answer
    x = 3,670.46

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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.