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Finding the Fourth Proportional to 3,498.80, 4,823.16 and 2,318

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Solution

The fourth proportional to 3,498.80, 4,823.16 and 2,318 is: 3,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.80 : 4,823.16 = 2,318 : x
  2. Step 2: Convert to fraction form
    3,498.80/4,823.16 = 2,318/x
  3. Step 3: Cross multiply
    3,498.80x = 4,823.16 × 2,318
  4. Step 4: Simplify right side
    3,498.80x = 11,180,084.88
  5. Step 5: Solve for x
    x = 11,180,084.88/3,498.80
  6. Step 6: Final answer
    x = 3,195.41

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