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Finding the Fourth Proportional to 4,758.84, 7,137.90 and 1,296.36

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Solution

The fourth proportional to 4,758.84, 7,137.90 and 1,296.36 is: 1,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.84 : 7,137.90 = 1,296.36 : x
  2. Step 2: Convert to fraction form
    4,758.84/7,137.90 = 1,296.36/x
  3. Step 3: Cross multiply
    4,758.84x = 7,137.90 × 1,296.36
  4. Step 4: Simplify right side
    4,758.84x = 9,253,288.04
  5. Step 5: Solve for x
    x = 9,253,288.04/4,758.84
  6. Step 6: Final answer
    x = 1,944.44

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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.