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Finding the Fourth Proportional to 4,938.66, 7,401.63 and 3,696.33

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Solution

The fourth proportional to 4,938.66, 7,401.63 and 3,696.33 is: 5,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.66 : 7,401.63 = 3,696.33 : x
  2. Step 2: Convert to fraction form
    4,938.66/7,401.63 = 3,696.33/x
  3. Step 3: Cross multiply
    4,938.66x = 7,401.63 × 3,696.33
  4. Step 4: Simplify right side
    4,938.66x = 27,358,867.02
  5. Step 5: Solve for x
    x = 27,358,867.02/4,938.66
  6. Step 6: Final answer
    x = 5,539.73

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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.