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Finding the Fourth Proportional to 6,068.96, 8,375.12 and 3,416.38

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Solution

The fourth proportional to 6,068.96, 8,375.12 and 3,416.38 is: 4,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068.96 : 8,375.12 = 3,416.38 : x
  2. Step 2: Convert to fraction form
    6,068.96/8,375.12 = 3,416.38/x
  3. Step 3: Cross multiply
    6,068.96x = 8,375.12 × 3,416.38
  4. Step 4: Simplify right side
    6,068.96x = 28,612,592.47
  5. Step 5: Solve for x
    x = 28,612,592.47/6,068.96
  6. Step 6: Final answer
    x = 4,714.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.