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Finding the Fourth Proportional to 3,904.96, 5,857.26 and 1,439.60

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Solution

The fourth proportional to 3,904.96, 5,857.26 and 1,439.60 is: 2,159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.96 : 5,857.26 = 1,439.60 : x
  2. Step 2: Convert to fraction form
    3,904.96/5,857.26 = 1,439.60/x
  3. Step 3: Cross multiply
    3,904.96x = 5,857.26 × 1,439.60
  4. Step 4: Simplify right side
    3,904.96x = 8,432,111.50
  5. Step 5: Solve for x
    x = 8,432,111.50/3,904.96
  6. Step 6: Final answer
    x = 2,159.33

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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.