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Finding the Fourth Proportional to 4,269.63, 5,892.12 and 2,381.34

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Solution

The fourth proportional to 4,269.63, 5,892.12 and 2,381.34 is: 3,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.63 : 5,892.12 = 2,381.34 : x
  2. Step 2: Convert to fraction form
    4,269.63/5,892.12 = 2,381.34/x
  3. Step 3: Cross multiply
    4,269.63x = 5,892.12 × 2,381.34
  4. Step 4: Simplify right side
    4,269.63x = 14,031,111.58
  5. Step 5: Solve for x
    x = 14,031,111.58/4,269.63
  6. Step 6: Final answer
    x = 3,286.26

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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.