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Finding the Fourth Proportional to 3,394, 4,684.08 and 2,463.04

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Solution

The fourth proportional to 3,394, 4,684.08 and 2,463.04 is: 3,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394 : 4,684.08 = 2,463.04 : x
  2. Step 2: Convert to fraction form
    3,394/4,684.08 = 2,463.04/x
  3. Step 3: Cross multiply
    3,394x = 4,684.08 × 2,463.04
  4. Step 4: Simplify right side
    3,394x = 11,537,076.40
  5. Step 5: Solve for x
    x = 11,537,076.40/3,394
  6. Step 6: Final answer
    x = 3,399.26

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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.