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Finding the Fourth Proportional to 5,668.30, 7,814.03 and 4,093.90

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Solution

The fourth proportional to 5,668.30, 7,814.03 and 4,093.90 is: 5,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.30 : 7,814.03 = 4,093.90 : x
  2. Step 2: Convert to fraction form
    5,668.30/7,814.03 = 4,093.90/x
  3. Step 3: Cross multiply
    5,668.30x = 7,814.03 × 4,093.90
  4. Step 4: Simplify right side
    5,668.30x = 31,989,857.42
  5. Step 5: Solve for x
    x = 31,989,857.42/5,668.30
  6. Step 6: Final answer
    x = 5,643.64

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