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Finding the Fourth Proportional to 2,973.97, 4,447.84 and 2,647.07

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Solution

The fourth proportional to 2,973.97, 4,447.84 and 2,647.07 is: 3,958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.97 : 4,447.84 = 2,647.07 : x
  2. Step 2: Convert to fraction form
    2,973.97/4,447.84 = 2,647.07/x
  3. Step 3: Cross multiply
    2,973.97x = 4,447.84 × 2,647.07
  4. Step 4: Simplify right side
    2,973.97x = 11,773,743.83
  5. Step 5: Solve for x
    x = 11,773,743.83/2,973.97
  6. Step 6: Final answer
    x = 3,958.93

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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.