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Finding the Fourth Proportional to 3,890.36, 5,835.18 and 1,425.08

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Solution

The fourth proportional to 3,890.36, 5,835.18 and 1,425.08 is: 2,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.36 : 5,835.18 = 1,425.08 : x
  2. Step 2: Convert to fraction form
    3,890.36/5,835.18 = 1,425.08/x
  3. Step 3: Cross multiply
    3,890.36x = 5,835.18 × 1,425.08
  4. Step 4: Simplify right side
    3,890.36x = 8,315,598.31
  5. Step 5: Solve for x
    x = 8,315,598.31/3,890.36
  6. Step 6: Final answer
    x = 2,137.49

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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.