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Finding the Fourth Proportional to 4,200.84, 5,796.08 and 2,431.40

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Solution

The fourth proportional to 4,200.84, 5,796.08 and 2,431.40 is: 3,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.84 : 5,796.08 = 2,431.40 : x
  2. Step 2: Convert to fraction form
    4,200.84/5,796.08 = 2,431.40/x
  3. Step 3: Cross multiply
    4,200.84x = 5,796.08 × 2,431.40
  4. Step 4: Simplify right side
    4,200.84x = 14,092,588.91
  5. Step 5: Solve for x
    x = 14,092,588.91/4,200.84
  6. Step 6: Final answer
    x = 3,354.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.