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Finding the Fourth Proportional to 7,033.42, 9,704.98 and 3,889

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Solution

The fourth proportional to 7,033.42, 9,704.98 and 3,889 is: 5,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.42 : 9,704.98 = 3,889 : x
  2. Step 2: Convert to fraction form
    7,033.42/9,704.98 = 3,889/x
  3. Step 3: Cross multiply
    7,033.42x = 9,704.98 × 3,889
  4. Step 4: Simplify right side
    7,033.42x = 37,742,667.22
  5. Step 5: Solve for x
    x = 37,742,667.22/7,033.42
  6. Step 6: Final answer
    x = 5,366.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.