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Finding the Fourth Proportional to 4,197.68, 6,296.87 and 1,276.01

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Solution

The fourth proportional to 4,197.68, 6,296.87 and 1,276.01 is: 1,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.68 : 6,296.87 = 1,276.01 : x
  2. Step 2: Convert to fraction form
    4,197.68/6,296.87 = 1,276.01/x
  3. Step 3: Cross multiply
    4,197.68x = 6,296.87 × 1,276.01
  4. Step 4: Simplify right side
    4,197.68x = 8,034,831.22
  5. Step 5: Solve for x
    x = 8,034,831.22/4,197.68
  6. Step 6: Final answer
    x = 1,914.11

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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.