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Finding the Fourth Proportional to 3,365.26, 4,646.94 and 3,214.94

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Solution

The fourth proportional to 3,365.26, 4,646.94 and 3,214.94 is: 4,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.26 : 4,646.94 = 3,214.94 : x
  2. Step 2: Convert to fraction form
    3,365.26/4,646.94 = 3,214.94/x
  3. Step 3: Cross multiply
    3,365.26x = 4,646.94 × 3,214.94
  4. Step 4: Simplify right side
    3,365.26x = 14,939,633.28
  5. Step 5: Solve for x
    x = 14,939,633.28/3,365.26
  6. Step 6: Final answer
    x = 4,439.37

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1.5x scale

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.