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Finding the Fourth Proportional to 4,394.94, 6,592.20 and 3,164.54

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Solution

The fourth proportional to 4,394.94, 6,592.20 and 3,164.54 is: 4,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.94 : 6,592.20 = 3,164.54 : x
  2. Step 2: Convert to fraction form
    4,394.94/6,592.20 = 3,164.54/x
  3. Step 3: Cross multiply
    4,394.94x = 6,592.20 × 3,164.54
  4. Step 4: Simplify right side
    4,394.94x = 20,861,280.59
  5. Step 5: Solve for x
    x = 20,861,280.59/4,394.94
  6. Step 6: Final answer
    x = 4,746.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.