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Finding the Fourth Proportional to 5,762.05, 7,952.11 and 3,340.25

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Solution

The fourth proportional to 5,762.05, 7,952.11 and 3,340.25 is: 4,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.05 : 7,952.11 = 3,340.25 : x
  2. Step 2: Convert to fraction form
    5,762.05/7,952.11 = 3,340.25/x
  3. Step 3: Cross multiply
    5,762.05x = 7,952.11 × 3,340.25
  4. Step 4: Simplify right side
    5,762.05x = 26,562,018.73
  5. Step 5: Solve for x
    x = 26,562,018.73/5,762.05
  6. Step 6: Final answer
    x = 4,609.82

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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.