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Finding the Fourth Proportional to 4,285.28, 5,919 and 3,695.60

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Solution

The fourth proportional to 4,285.28, 5,919 and 3,695.60 is: 5,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.28 : 5,919 = 3,695.60 : x
  2. Step 2: Convert to fraction form
    4,285.28/5,919 = 3,695.60/x
  3. Step 3: Cross multiply
    4,285.28x = 5,919 × 3,695.60
  4. Step 4: Simplify right side
    4,285.28x = 21,874,256.40
  5. Step 5: Solve for x
    x = 21,874,256.40/4,285.28
  6. Step 6: Final answer
    x = 5,104.51

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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.