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Finding the Fourth Proportional to 4,156.84, 5,736.72 and 2,389.15

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Solution

The fourth proportional to 4,156.84, 5,736.72 and 2,389.15 is: 3,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.84 : 5,736.72 = 2,389.15 : x
  2. Step 2: Convert to fraction form
    4,156.84/5,736.72 = 2,389.15/x
  3. Step 3: Cross multiply
    4,156.84x = 5,736.72 × 2,389.15
  4. Step 4: Simplify right side
    4,156.84x = 13,705,884.59
  5. Step 5: Solve for x
    x = 13,705,884.59/4,156.84
  6. Step 6: Final answer
    x = 3,297.19

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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.