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Finding the Fourth Proportional to 5,796.46, 8,696.04 and 1,900.63

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Solution

The fourth proportional to 5,796.46, 8,696.04 and 1,900.63 is: 2,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.46 : 8,696.04 = 1,900.63 : x
  2. Step 2: Convert to fraction form
    5,796.46/8,696.04 = 1,900.63/x
  3. Step 3: Cross multiply
    5,796.46x = 8,696.04 × 1,900.63
  4. Step 4: Simplify right side
    5,796.46x = 16,527,954.51
  5. Step 5: Solve for x
    x = 16,527,954.51/5,796.46
  6. Step 6: Final answer
    x = 2,851.39

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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.