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Finding the Fourth Proportional to 3,866.84, 5,796.10 and 1,646.83

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Solution

The fourth proportional to 3,866.84, 5,796.10 and 1,646.83 is: 2,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.84 : 5,796.10 = 1,646.83 : x
  2. Step 2: Convert to fraction form
    3,866.84/5,796.10 = 1,646.83/x
  3. Step 3: Cross multiply
    3,866.84x = 5,796.10 × 1,646.83
  4. Step 4: Simplify right side
    3,866.84x = 9,545,191.36
  5. Step 5: Solve for x
    x = 9,545,191.36/3,866.84
  6. Step 6: Final answer
    x = 2,468.47

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1.5x scale

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.