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Finding the Fourth Proportional to 4,322.97, 6,474.73 and 3,030.21

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Solution

The fourth proportional to 4,322.97, 6,474.73 and 3,030.21 is: 4,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.97 : 6,474.73 = 3,030.21 : x
  2. Step 2: Convert to fraction form
    4,322.97/6,474.73 = 3,030.21/x
  3. Step 3: Cross multiply
    4,322.97x = 6,474.73 × 3,030.21
  4. Step 4: Simplify right side
    4,322.97x = 19,619,791.59
  5. Step 5: Solve for x
    x = 19,619,791.59/4,322.97
  6. Step 6: Final answer
    x = 4,538.50

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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.