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Finding the Fourth Proportional to 6,096.84, 8,414.10 and 3,445.08

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Solution

The fourth proportional to 6,096.84, 8,414.10 and 3,445.08 is: 4,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.84 : 8,414.10 = 3,445.08 : x
  2. Step 2: Convert to fraction form
    6,096.84/8,414.10 = 3,445.08/x
  3. Step 3: Cross multiply
    6,096.84x = 8,414.10 × 3,445.08
  4. Step 4: Simplify right side
    6,096.84x = 28,987,247.63
  5. Step 5: Solve for x
    x = 28,987,247.63/6,096.84
  6. Step 6: Final answer
    x = 4,754.47

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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.