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Finding the Fourth Proportional to 4,235.64, 6,353.66 and 2,046.21

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Solution

The fourth proportional to 4,235.64, 6,353.66 and 2,046.21 is: 3,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.64 : 6,353.66 = 2,046.21 : x
  2. Step 2: Convert to fraction form
    4,235.64/6,353.66 = 2,046.21/x
  3. Step 3: Cross multiply
    4,235.64x = 6,353.66 × 2,046.21
  4. Step 4: Simplify right side
    4,235.64x = 13,000,922.63
  5. Step 5: Solve for x
    x = 13,000,922.63/4,235.64
  6. Step 6: Final answer
    x = 3,069.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.