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Finding the Fourth Proportional to 4,115, 5,678.74 and 2,252.04

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Solution

The fourth proportional to 4,115, 5,678.74 and 2,252.04 is: 3,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115 : 5,678.74 = 2,252.04 : x
  2. Step 2: Convert to fraction form
    4,115/5,678.74 = 2,252.04/x
  3. Step 3: Cross multiply
    4,115x = 5,678.74 × 2,252.04
  4. Step 4: Simplify right side
    4,115x = 12,788,749.63
  5. Step 5: Solve for x
    x = 12,788,749.63/4,115
  6. Step 6: Final answer
    x = 3,107.84

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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.