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Finding the Fourth Proportional to 4,394.82, 6,064.84 and 2,405.38

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Solution

The fourth proportional to 4,394.82, 6,064.84 and 2,405.38 is: 3,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.82 : 6,064.84 = 2,405.38 : x
  2. Step 2: Convert to fraction form
    4,394.82/6,064.84 = 2,405.38/x
  3. Step 3: Cross multiply
    4,394.82x = 6,064.84 × 2,405.38
  4. Step 4: Simplify right side
    4,394.82x = 14,588,244.06
  5. Step 5: Solve for x
    x = 14,588,244.06/4,394.82
  6. Step 6: Final answer
    x = 3,319.42

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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.