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Finding the Fourth Proportional to 4,560.86, 6,841.63 and 1,639.19

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Solution

The fourth proportional to 4,560.86, 6,841.63 and 1,639.19 is: 2,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.86 : 6,841.63 = 1,639.19 : x
  2. Step 2: Convert to fraction form
    4,560.86/6,841.63 = 1,639.19/x
  3. Step 3: Cross multiply
    4,560.86x = 6,841.63 × 1,639.19
  4. Step 4: Simplify right side
    4,560.86x = 11,214,744.49
  5. Step 5: Solve for x
    x = 11,214,744.49/4,560.86
  6. Step 6: Final answer
    x = 2,458.91

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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.