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Finding the Fourth Proportional to 4,797.68, 7,196.01 and 1,288.06

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Solution

The fourth proportional to 4,797.68, 7,196.01 and 1,288.06 is: 1,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.68 : 7,196.01 = 1,288.06 : x
  2. Step 2: Convert to fraction form
    4,797.68/7,196.01 = 1,288.06/x
  3. Step 3: Cross multiply
    4,797.68x = 7,196.01 × 1,288.06
  4. Step 4: Simplify right side
    4,797.68x = 9,268,874.65
  5. Step 5: Solve for x
    x = 9,268,874.65/4,797.68
  6. Step 6: Final answer
    x = 1,931.95

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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.