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Finding the Fourth Proportional to 5,736.12, 7,915.22 and 3,498.59

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Solution

The fourth proportional to 5,736.12, 7,915.22 and 3,498.59 is: 4,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.12 : 7,915.22 = 3,498.59 : x
  2. Step 2: Convert to fraction form
    5,736.12/7,915.22 = 3,498.59/x
  3. Step 3: Cross multiply
    5,736.12x = 7,915.22 × 3,498.59
  4. Step 4: Simplify right side
    5,736.12x = 27,692,124.95
  5. Step 5: Solve for x
    x = 27,692,124.95/5,736.12
  6. Step 6: Final answer
    x = 4,827.68

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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.