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Finding the Fourth Proportional to 4,696.70, 7,025.60 and 4,269.02

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Solution

The fourth proportional to 4,696.70, 7,025.60 and 4,269.02 is: 6,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.70 : 7,025.60 = 4,269.02 : x
  2. Step 2: Convert to fraction form
    4,696.70/7,025.60 = 4,269.02/x
  3. Step 3: Cross multiply
    4,696.70x = 7,025.60 × 4,269.02
  4. Step 4: Simplify right side
    4,696.70x = 29,992,426.91
  5. Step 5: Solve for x
    x = 29,992,426.91/4,696.70
  6. Step 6: Final answer
    x = 6,385.85

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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.