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Finding the Fourth Proportional to 4,195.69, 6,291.25 and 2,714.70

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Solution

The fourth proportional to 4,195.69, 6,291.25 and 2,714.70 is: 4,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.69 : 6,291.25 = 2,714.70 : x
  2. Step 2: Convert to fraction form
    4,195.69/6,291.25 = 2,714.70/x
  3. Step 3: Cross multiply
    4,195.69x = 6,291.25 × 2,714.70
  4. Step 4: Simplify right side
    4,195.69x = 17,078,856.38
  5. Step 5: Solve for x
    x = 17,078,856.38/4,195.69
  6. Step 6: Final answer
    x = 4,070.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.