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Finding the Fourth Proportional to 3,797.70, 5,696.70 and 1,458.84

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Solution

The fourth proportional to 3,797.70, 5,696.70 and 1,458.84 is: 2,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.70 : 5,696.70 = 1,458.84 : x
  2. Step 2: Convert to fraction form
    3,797.70/5,696.70 = 1,458.84/x
  3. Step 3: Cross multiply
    3,797.70x = 5,696.70 × 1,458.84
  4. Step 4: Simplify right side
    3,797.70x = 8,310,573.83
  5. Step 5: Solve for x
    x = 8,310,573.83/3,797.70
  6. Step 6: Final answer
    x = 2,188.32

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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.