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Finding the Fourth Proportional to 3,840.64, 5,295.17 and 2,580.72

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Solution

The fourth proportional to 3,840.64, 5,295.17 and 2,580.72 is: 3,558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.64 : 5,295.17 = 2,580.72 : x
  2. Step 2: Convert to fraction form
    3,840.64/5,295.17 = 2,580.72/x
  3. Step 3: Cross multiply
    3,840.64x = 5,295.17 × 2,580.72
  4. Step 4: Simplify right side
    3,840.64x = 13,665,351.12
  5. Step 5: Solve for x
    x = 13,665,351.12/3,840.64
  6. Step 6: Final answer
    x = 3,558.09

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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.