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Finding the Fourth Proportional to 7,201.19, 9,937.59 and 4,057.37

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Solution

The fourth proportional to 7,201.19, 9,937.59 and 4,057.37 is: 5,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.19 : 9,937.59 = 4,057.37 : x
  2. Step 2: Convert to fraction form
    7,201.19/9,937.59 = 4,057.37/x
  3. Step 3: Cross multiply
    7,201.19x = 9,937.59 × 4,057.37
  4. Step 4: Simplify right side
    7,201.19x = 40,320,479.54
  5. Step 5: Solve for x
    x = 40,320,479.54/7,201.19
  6. Step 6: Final answer
    x = 5,599.14

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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.