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Finding the Fourth Proportional to 3,960.54, 5,464.47 and 2,564.70

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Solution

The fourth proportional to 3,960.54, 5,464.47 and 2,564.70 is: 3,538.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.54 : 5,464.47 = 2,564.70 : x
  2. Step 2: Convert to fraction form
    3,960.54/5,464.47 = 2,564.70/x
  3. Step 3: Cross multiply
    3,960.54x = 5,464.47 × 2,564.70
  4. Step 4: Simplify right side
    3,960.54x = 14,014,726.21
  5. Step 5: Solve for x
    x = 14,014,726.21/3,960.54
  6. Step 6: Final answer
    x = 3,538.59

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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.