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Finding the Fourth Proportional to 4,758.75, 7,138.43 and 1,296

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Solution

The fourth proportional to 4,758.75, 7,138.43 and 1,296 is: 1,944.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.75 : 7,138.43 = 1,296 : x
  2. Step 2: Convert to fraction form
    4,758.75/7,138.43 = 1,296/x
  3. Step 3: Cross multiply
    4,758.75x = 7,138.43 × 1,296
  4. Step 4: Simplify right side
    4,758.75x = 9,251,403.66
  5. Step 5: Solve for x
    x = 9,251,403.66/4,758.75
  6. Step 6: Final answer
    x = 1,944.08

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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.