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Finding the Fourth Proportional to 5,344.64, 8,015.52 and 2,420

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Solution

The fourth proportional to 5,344.64, 8,015.52 and 2,420 is: 3,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.64 : 8,015.52 = 2,420 : x
  2. Step 2: Convert to fraction form
    5,344.64/8,015.52 = 2,420/x
  3. Step 3: Cross multiply
    5,344.64x = 8,015.52 × 2,420
  4. Step 4: Simplify right side
    5,344.64x = 19,397,558.40
  5. Step 5: Solve for x
    x = 19,397,558.40/5,344.64
  6. Step 6: Final answer
    x = 3,629.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.