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Finding the Fourth Proportional to 5,145.77, 7,717.72 and 1,636.15

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Solution

The fourth proportional to 5,145.77, 7,717.72 and 1,636.15 is: 2,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.77 : 7,717.72 = 1,636.15 : x
  2. Step 2: Convert to fraction form
    5,145.77/7,717.72 = 1,636.15/x
  3. Step 3: Cross multiply
    5,145.77x = 7,717.72 × 1,636.15
  4. Step 4: Simplify right side
    5,145.77x = 12,627,339.43
  5. Step 5: Solve for x
    x = 12,627,339.43/5,145.77
  6. Step 6: Final answer
    x = 2,453.93

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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.