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Finding the Fourth Proportional to 4,713.40, 7,078.20 and 3,336.40

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Solution

The fourth proportional to 4,713.40, 7,078.20 and 3,336.40 is: 5,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.40 : 7,078.20 = 3,336.40 : x
  2. Step 2: Convert to fraction form
    4,713.40/7,078.20 = 3,336.40/x
  3. Step 3: Cross multiply
    4,713.40x = 7,078.20 × 3,336.40
  4. Step 4: Simplify right side
    4,713.40x = 23,615,706.48
  5. Step 5: Solve for x
    x = 23,615,706.48/4,713.40
  6. Step 6: Final answer
    x = 5,010.33

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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.