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Finding the Fourth Proportional to 4,784.32, 7,172.16 and 2,728

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Solution

The fourth proportional to 4,784.32, 7,172.16 and 2,728 is: 4,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.32 : 7,172.16 = 2,728 : x
  2. Step 2: Convert to fraction form
    4,784.32/7,172.16 = 2,728/x
  3. Step 3: Cross multiply
    4,784.32x = 7,172.16 × 2,728
  4. Step 4: Simplify right side
    4,784.32x = 19,565,652.48
  5. Step 5: Solve for x
    x = 19,565,652.48/4,784.32
  6. Step 6: Final answer
    x = 4,089.54

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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.