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Finding the Fourth Proportional to 6,838.08, 10,258.20 and 2,220

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Solution

The fourth proportional to 6,838.08, 10,258.20 and 2,220 is: 3,330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.08 : 10,258.20 = 2,220 : x
  2. Step 2: Convert to fraction form
    6,838.08/10,258.20 = 2,220/x
  3. Step 3: Cross multiply
    6,838.08x = 10,258.20 × 2,220
  4. Step 4: Simplify right side
    6,838.08x = 22,773,204
  5. Step 5: Solve for x
    x = 22,773,204/6,838.08
  6. Step 6: Final answer
    x = 3,330.35

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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.