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Finding the Fourth Proportional to 4,640.64, 6,958.78 and 2,693.40

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Solution

The fourth proportional to 4,640.64, 6,958.78 and 2,693.40 is: 4,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.64 : 6,958.78 = 2,693.40 : x
  2. Step 2: Convert to fraction form
    4,640.64/6,958.78 = 2,693.40/x
  3. Step 3: Cross multiply
    4,640.64x = 6,958.78 × 2,693.40
  4. Step 4: Simplify right side
    4,640.64x = 18,742,778.05
  5. Step 5: Solve for x
    x = 18,742,778.05/4,640.64
  6. Step 6: Final answer
    x = 4,038.83

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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.