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Finding the Fourth Proportional to 4,182.84, 5,771.94 and 2,294.34

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Solution

The fourth proportional to 4,182.84, 5,771.94 and 2,294.34 is: 3,165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.84 : 5,771.94 = 2,294.34 : x
  2. Step 2: Convert to fraction form
    4,182.84/5,771.94 = 2,294.34/x
  3. Step 3: Cross multiply
    4,182.84x = 5,771.94 × 2,294.34
  4. Step 4: Simplify right side
    4,182.84x = 13,242,792.82
  5. Step 5: Solve for x
    x = 13,242,792.82/4,182.84
  6. Step 6: Final answer
    x = 3,165.98

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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.