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Finding the Fourth Proportional to 4,696.20, 7,024.86 and 4,268.52

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Solution

The fourth proportional to 4,696.20, 7,024.86 and 4,268.52 is: 6,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.20 : 7,024.86 = 4,268.52 : x
  2. Step 2: Convert to fraction form
    4,696.20/7,024.86 = 4,268.52/x
  3. Step 3: Cross multiply
    4,696.20x = 7,024.86 × 4,268.52
  4. Step 4: Simplify right side
    4,696.20x = 29,985,755.41
  5. Step 5: Solve for x
    x = 29,985,755.41/4,696.20
  6. Step 6: Final answer
    x = 6,385.11

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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.