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Finding the Fourth Proportional to 5,746.05, 8,619.27 and 1,797.66

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Solution

The fourth proportional to 5,746.05, 8,619.27 and 1,797.66 is: 2,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.05 : 8,619.27 = 1,797.66 : x
  2. Step 2: Convert to fraction form
    5,746.05/8,619.27 = 1,797.66/x
  3. Step 3: Cross multiply
    5,746.05x = 8,619.27 × 1,797.66
  4. Step 4: Simplify right side
    5,746.05x = 15,494,516.91
  5. Step 5: Solve for x
    x = 15,494,516.91/5,746.05
  6. Step 6: Final answer
    x = 2,696.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.