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Finding the Fourth Proportional to 4,915.70, 6,784.30 and 2,819.78

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Solution

The fourth proportional to 4,915.70, 6,784.30 and 2,819.78 is: 3,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915.70 : 6,784.30 = 2,819.78 : x
  2. Step 2: Convert to fraction form
    4,915.70/6,784.30 = 2,819.78/x
  3. Step 3: Cross multiply
    4,915.70x = 6,784.30 × 2,819.78
  4. Step 4: Simplify right side
    4,915.70x = 19,130,233.45
  5. Step 5: Solve for x
    x = 19,130,233.45/4,915.70
  6. Step 6: Final answer
    x = 3,891.66

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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.