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Finding the Fourth Proportional to 4,696.42, 6,480.96 and 2,600.54

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Solution

The fourth proportional to 4,696.42, 6,480.96 and 2,600.54 is: 3,588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.42 : 6,480.96 = 2,600.54 : x
  2. Step 2: Convert to fraction form
    4,696.42/6,480.96 = 2,600.54/x
  3. Step 3: Cross multiply
    4,696.42x = 6,480.96 × 2,600.54
  4. Step 4: Simplify right side
    4,696.42x = 16,853,995.72
  5. Step 5: Solve for x
    x = 16,853,995.72/4,696.42
  6. Step 6: Final answer
    x = 3,588.69

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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.