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Finding the Fourth Proportional to 6,708.84, 9,258.26 and 3,724.96

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Solution

The fourth proportional to 6,708.84, 9,258.26 and 3,724.96 is: 5,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.84 : 9,258.26 = 3,724.96 : x
  2. Step 2: Convert to fraction form
    6,708.84/9,258.26 = 3,724.96/x
  3. Step 3: Cross multiply
    6,708.84x = 9,258.26 × 3,724.96
  4. Step 4: Simplify right side
    6,708.84x = 34,486,606.40
  5. Step 5: Solve for x
    x = 34,486,606.40/6,708.84
  6. Step 6: Final answer
    x = 5,140.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.