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Finding the Fourth Proportional to 3,890.94, 5,835.57 and 1,258.68

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Solution

The fourth proportional to 3,890.94, 5,835.57 and 1,258.68 is: 1,887.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.94 : 5,835.57 = 1,258.68 : x
  2. Step 2: Convert to fraction form
    3,890.94/5,835.57 = 1,258.68/x
  3. Step 3: Cross multiply
    3,890.94x = 5,835.57 × 1,258.68
  4. Step 4: Simplify right side
    3,890.94x = 7,345,115.25
  5. Step 5: Solve for x
    x = 7,345,115.25/3,890.94
  6. Step 6: Final answer
    x = 1,887.75

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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.