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Finding the Fourth Proportional to 4,274.46, 6,381.08 and 4,085.34

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Solution

The fourth proportional to 4,274.46, 6,381.08 and 4,085.34 is: 6,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.46 : 6,381.08 = 4,085.34 : x
  2. Step 2: Convert to fraction form
    4,274.46/6,381.08 = 4,085.34/x
  3. Step 3: Cross multiply
    4,274.46x = 6,381.08 × 4,085.34
  4. Step 4: Simplify right side
    4,274.46x = 26,068,860.94
  5. Step 5: Solve for x
    x = 26,068,860.94/4,274.46
  6. Step 6: Final answer
    x = 6,098.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.