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Finding the Fourth Proportional to 4,192.96, 6,288.64 and 1,272

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Solution

The fourth proportional to 4,192.96, 6,288.64 and 1,272 is: 1,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.96 : 6,288.64 = 1,272 : x
  2. Step 2: Convert to fraction form
    4,192.96/6,288.64 = 1,272/x
  3. Step 3: Cross multiply
    4,192.96x = 6,288.64 × 1,272
  4. Step 4: Simplify right side
    4,192.96x = 7,999,150.08
  5. Step 5: Solve for x
    x = 7,999,150.08/4,192.96
  6. Step 6: Final answer
    x = 1,907.76

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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.