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Finding the Fourth Proportional to 4,856.14, 6,702.18 and 2,968.80

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Solution

The fourth proportional to 4,856.14, 6,702.18 and 2,968.80 is: 4,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.14 : 6,702.18 = 2,968.80 : x
  2. Step 2: Convert to fraction form
    4,856.14/6,702.18 = 2,968.80/x
  3. Step 3: Cross multiply
    4,856.14x = 6,702.18 × 2,968.80
  4. Step 4: Simplify right side
    4,856.14x = 19,897,431.98
  5. Step 5: Solve for x
    x = 19,897,431.98/4,856.14
  6. Step 6: Final answer
    x = 4,097.38

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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.