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Finding the Fourth Proportional to 5,667.96, 7,823.34 and 3,429.48

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Solution

The fourth proportional to 5,667.96, 7,823.34 and 3,429.48 is: 4,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.96 : 7,823.34 = 3,429.48 : x
  2. Step 2: Convert to fraction form
    5,667.96/7,823.34 = 3,429.48/x
  3. Step 3: Cross multiply
    5,667.96x = 7,823.34 × 3,429.48
  4. Step 4: Simplify right side
    5,667.96x = 26,829,988.06
  5. Step 5: Solve for x
    x = 26,829,988.06/5,667.96
  6. Step 6: Final answer
    x = 4,733.62

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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.