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Finding the Fourth Proportional to 4,269.04, 5,891.44 and 2,406

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Solution

The fourth proportional to 4,269.04, 5,891.44 and 2,406 is: 3,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.04 : 5,891.44 = 2,406 : x
  2. Step 2: Convert to fraction form
    4,269.04/5,891.44 = 2,406/x
  3. Step 3: Cross multiply
    4,269.04x = 5,891.44 × 2,406
  4. Step 4: Simplify right side
    4,269.04x = 14,174,804.64
  5. Step 5: Solve for x
    x = 14,174,804.64/4,269.04
  6. Step 6: Final answer
    x = 3,320.37

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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.