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Finding the Fourth Proportional to 3,840.64, 5,299.99 and 2,514.32

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Solution

The fourth proportional to 3,840.64, 5,299.99 and 2,514.32 is: 3,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.64 : 5,299.99 = 2,514.32 : x
  2. Step 2: Convert to fraction form
    3,840.64/5,299.99 = 2,514.32/x
  3. Step 3: Cross multiply
    3,840.64x = 5,299.99 × 2,514.32
  4. Step 4: Simplify right side
    3,840.64x = 13,325,870.86
  5. Step 5: Solve for x
    x = 13,325,870.86/3,840.64
  6. Step 6: Final answer
    x = 3,469.70

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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.