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Finding the Fourth Proportional to 4,516.77, 6,775.80 and 1,397.05

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Solution

The fourth proportional to 4,516.77, 6,775.80 and 1,397.05 is: 2,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.77 : 6,775.80 = 1,397.05 : x
  2. Step 2: Convert to fraction form
    4,516.77/6,775.80 = 1,397.05/x
  3. Step 3: Cross multiply
    4,516.77x = 6,775.80 × 1,397.05
  4. Step 4: Simplify right side
    4,516.77x = 9,466,144.84
  5. Step 5: Solve for x
    x = 9,466,144.84/4,516.77
  6. Step 6: Final answer
    x = 2,095.78

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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.