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Finding the Fourth Proportional to 3,874.44, 5,808.96 and 1,925.31

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Solution

The fourth proportional to 3,874.44, 5,808.96 and 1,925.31 is: 2,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.44 : 5,808.96 = 1,925.31 : x
  2. Step 2: Convert to fraction form
    3,874.44/5,808.96 = 1,925.31/x
  3. Step 3: Cross multiply
    3,874.44x = 5,808.96 × 1,925.31
  4. Step 4: Simplify right side
    3,874.44x = 11,184,048.78
  5. Step 5: Solve for x
    x = 11,184,048.78/3,874.44
  6. Step 6: Final answer
    x = 2,886.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.