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Finding the Fourth Proportional to 4,594.46, 6,884.40 and 3,497.54

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Solution

The fourth proportional to 4,594.46, 6,884.40 and 3,497.54 is: 5,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.46 : 6,884.40 = 3,497.54 : x
  2. Step 2: Convert to fraction form
    4,594.46/6,884.40 = 3,497.54/x
  3. Step 3: Cross multiply
    4,594.46x = 6,884.40 × 3,497.54
  4. Step 4: Simplify right side
    4,594.46x = 24,078,464.38
  5. Step 5: Solve for x
    x = 24,078,464.38/4,594.46
  6. Step 6: Final answer
    x = 5,240.76

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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.