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Finding the Fourth Proportional to 4,835.64, 7,241.94 and 4,063.80

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Solution

The fourth proportional to 4,835.64, 7,241.94 and 4,063.80 is: 6,086.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.64 : 7,241.94 = 4,063.80 : x
  2. Step 2: Convert to fraction form
    4,835.64/7,241.94 = 4,063.80/x
  3. Step 3: Cross multiply
    4,835.64x = 7,241.94 × 4,063.80
  4. Step 4: Simplify right side
    4,835.64x = 29,429,795.77
  5. Step 5: Solve for x
    x = 29,429,795.77/4,835.64
  6. Step 6: Final answer
    x = 6,086.02

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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.