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Finding the Fourth Proportional to 3,699.54, 5,096.67 and 2,578.46

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Solution

The fourth proportional to 3,699.54, 5,096.67 and 2,578.46 is: 3,552.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.54 : 5,096.67 = 2,578.46 : x
  2. Step 2: Convert to fraction form
    3,699.54/5,096.67 = 2,578.46/x
  3. Step 3: Cross multiply
    3,699.54x = 5,096.67 × 2,578.46
  4. Step 4: Simplify right side
    3,699.54x = 13,141,534.24
  5. Step 5: Solve for x
    x = 13,141,534.24/3,699.54
  6. Step 6: Final answer
    x = 3,552.21

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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.