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Finding the Fourth Proportional to 3,841.94, 5,758.36 and 1,646.03

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Solution

The fourth proportional to 3,841.94, 5,758.36 and 1,646.03 is: 2,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.94 : 5,758.36 = 1,646.03 : x
  2. Step 2: Convert to fraction form
    3,841.94/5,758.36 = 1,646.03/x
  3. Step 3: Cross multiply
    3,841.94x = 5,758.36 × 1,646.03
  4. Step 4: Simplify right side
    3,841.94x = 9,478,443.59
  5. Step 5: Solve for x
    x = 9,478,443.59/3,841.94
  6. Step 6: Final answer
    x = 2,467.10

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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.