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Finding the Fourth Proportional to 5,432.96, 7,497.06 and 3,194.92

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Solution

The fourth proportional to 5,432.96, 7,497.06 and 3,194.92 is: 4,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.96 : 7,497.06 = 3,194.92 : x
  2. Step 2: Convert to fraction form
    5,432.96/7,497.06 = 3,194.92/x
  3. Step 3: Cross multiply
    5,432.96x = 7,497.06 × 3,194.92
  4. Step 4: Simplify right side
    5,432.96x = 23,952,506.94
  5. Step 5: Solve for x
    x = 23,952,506.94/5,432.96
  6. Step 6: Final answer
    x = 4,408.74

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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.