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Finding the Fourth Proportional to 5,152.72, 7,728.39 and 1,455.25

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Solution

The fourth proportional to 5,152.72, 7,728.39 and 1,455.25 is: 2,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.72 : 7,728.39 = 1,455.25 : x
  2. Step 2: Convert to fraction form
    5,152.72/7,728.39 = 1,455.25/x
  3. Step 3: Cross multiply
    5,152.72x = 7,728.39 × 1,455.25
  4. Step 4: Simplify right side
    5,152.72x = 11,246,739.55
  5. Step 5: Solve for x
    x = 11,246,739.55/5,152.72
  6. Step 6: Final answer
    x = 2,182.68

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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.