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Finding the Fourth Proportional to 3,900.98, 5,848.73 and 1,435.48

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Solution

The fourth proportional to 3,900.98, 5,848.73 and 1,435.48 is: 2,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.98 : 5,848.73 = 1,435.48 : x
  2. Step 2: Convert to fraction form
    3,900.98/5,848.73 = 1,435.48/x
  3. Step 3: Cross multiply
    3,900.98x = 5,848.73 × 1,435.48
  4. Step 4: Simplify right side
    3,900.98x = 8,395,723.91
  5. Step 5: Solve for x
    x = 8,395,723.91/3,900.98
  6. Step 6: Final answer
    x = 2,152.21

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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.