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Finding the Fourth Proportional to 3,855.57, 5,784.26 and 1,258.50

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Solution

The fourth proportional to 3,855.57, 5,784.26 and 1,258.50 is: 1,888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.57 : 5,784.26 = 1,258.50 : x
  2. Step 2: Convert to fraction form
    3,855.57/5,784.26 = 1,258.50/x
  3. Step 3: Cross multiply
    3,855.57x = 5,784.26 × 1,258.50
  4. Step 4: Simplify right side
    3,855.57x = 7,279,484.92
  5. Step 5: Solve for x
    x = 7,279,484.92/3,855.57
  6. Step 6: Final answer
    x = 1,888.04

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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.