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Finding the Fourth Proportional to 3,973.23, 5,959.17 and 1,051.83

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Solution

The fourth proportional to 3,973.23, 5,959.17 and 1,051.83 is: 1,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.23 : 5,959.17 = 1,051.83 : x
  2. Step 2: Convert to fraction form
    3,973.23/5,959.17 = 1,051.83/x
  3. Step 3: Cross multiply
    3,973.23x = 5,959.17 × 1,051.83
  4. Step 4: Simplify right side
    3,973.23x = 6,268,033.78
  5. Step 5: Solve for x
    x = 6,268,033.78/3,973.23
  6. Step 6: Final answer
    x = 1,577.57

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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.