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Finding the Fourth Proportional to 4,195.03, 6,288.63 and 1,419.77

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Solution

The fourth proportional to 4,195.03, 6,288.63 and 1,419.77 is: 2,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.03 : 6,288.63 = 1,419.77 : x
  2. Step 2: Convert to fraction form
    4,195.03/6,288.63 = 1,419.77/x
  3. Step 3: Cross multiply
    4,195.03x = 6,288.63 × 1,419.77
  4. Step 4: Simplify right side
    4,195.03x = 8,928,404.92
  5. Step 5: Solve for x
    x = 8,928,404.92/4,195.03
  6. Step 6: Final answer
    x = 2,128.33

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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.