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Finding the Fourth Proportional to 4,051.84, 6,078.57 and 1,419.61

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Solution

The fourth proportional to 4,051.84, 6,078.57 and 1,419.61 is: 2,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.84 : 6,078.57 = 1,419.61 : x
  2. Step 2: Convert to fraction form
    4,051.84/6,078.57 = 1,419.61/x
  3. Step 3: Cross multiply
    4,051.84x = 6,078.57 × 1,419.61
  4. Step 4: Simplify right side
    4,051.84x = 8,629,198.76
  5. Step 5: Solve for x
    x = 8,629,198.76/4,051.84
  6. Step 6: Final answer
    x = 2,129.70

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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.