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Finding the Fourth Proportional to 4,696.38, 7,004.75 and 3,960.86

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Solution

The fourth proportional to 4,696.38, 7,004.75 and 3,960.86 is: 5,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.38 : 7,004.75 = 3,960.86 : x
  2. Step 2: Convert to fraction form
    4,696.38/7,004.75 = 3,960.86/x
  3. Step 3: Cross multiply
    4,696.38x = 7,004.75 × 3,960.86
  4. Step 4: Simplify right side
    4,696.38x = 27,744,779.26
  5. Step 5: Solve for x
    x = 27,744,779.26/4,696.38
  6. Step 6: Final answer
    x = 5,907.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.