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Finding the Fourth Proportional to 4,696.40, 6,481.03 and 2,600.53

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Solution

The fourth proportional to 4,696.40, 6,481.03 and 2,600.53 is: 3,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.40 : 6,481.03 = 2,600.53 : x
  2. Step 2: Convert to fraction form
    4,696.40/6,481.03 = 2,600.53/x
  3. Step 3: Cross multiply
    4,696.40x = 6,481.03 × 2,600.53
  4. Step 4: Simplify right side
    4,696.40x = 16,854,112.95
  5. Step 5: Solve for x
    x = 16,854,112.95/4,696.40
  6. Step 6: Final answer
    x = 3,588.73

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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.