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Finding the Fourth Proportional to 4,185.84, 5,776.08 and 2,297.34

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Solution

The fourth proportional to 4,185.84, 5,776.08 and 2,297.34 is: 3,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.84 : 5,776.08 = 2,297.34 : x
  2. Step 2: Convert to fraction form
    4,185.84/5,776.08 = 2,297.34/x
  3. Step 3: Cross multiply
    4,185.84x = 5,776.08 × 2,297.34
  4. Step 4: Simplify right side
    4,185.84x = 13,269,619.63
  5. Step 5: Solve for x
    x = 13,269,619.63/4,185.84
  6. Step 6: Final answer
    x = 3,170.12

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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.