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Finding the Fourth Proportional to 5,631.35, 7,778.64 and 4,321.23

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Solution

The fourth proportional to 5,631.35, 7,778.64 and 4,321.23 is: 5,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.35 : 7,778.64 = 4,321.23 : x
  2. Step 2: Convert to fraction form
    5,631.35/7,778.64 = 4,321.23/x
  3. Step 3: Cross multiply
    5,631.35x = 7,778.64 × 4,321.23
  4. Step 4: Simplify right side
    5,631.35x = 33,613,292.53
  5. Step 5: Solve for x
    x = 33,613,292.53/5,631.35
  6. Step 6: Final answer
    x = 5,968.96

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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.