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Finding the Fourth Proportional to 5,663.21, 7,814.42 and 3,394.01

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Solution

The fourth proportional to 5,663.21, 7,814.42 and 3,394.01 is: 4,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.21 : 7,814.42 = 3,394.01 : x
  2. Step 2: Convert to fraction form
    5,663.21/7,814.42 = 3,394.01/x
  3. Step 3: Cross multiply
    5,663.21x = 7,814.42 × 3,394.01
  4. Step 4: Simplify right side
    5,663.21x = 26,522,202.65
  5. Step 5: Solve for x
    x = 26,522,202.65/5,663.21
  6. Step 6: Final answer
    x = 4,683.25

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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.