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Finding the Fourth Proportional to 4,986.38, 7,478.52 and 1,697.69

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Solution

The fourth proportional to 4,986.38, 7,478.52 and 1,697.69 is: 2,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.38 : 7,478.52 = 1,697.69 : x
  2. Step 2: Convert to fraction form
    4,986.38/7,478.52 = 1,697.69/x
  3. Step 3: Cross multiply
    4,986.38x = 7,478.52 × 1,697.69
  4. Step 4: Simplify right side
    4,986.38x = 12,696,171.23
  5. Step 5: Solve for x
    x = 12,696,171.23/4,986.38
  6. Step 6: Final answer
    x = 2,546.17

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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.