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Finding the Fourth Proportional to 4,856.40, 6,702.60 and 3,086.16

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Solution

The fourth proportional to 4,856.40, 6,702.60 and 3,086.16 is: 4,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.40 : 6,702.60 = 3,086.16 : x
  2. Step 2: Convert to fraction form
    4,856.40/6,702.60 = 3,086.16/x
  3. Step 3: Cross multiply
    4,856.40x = 6,702.60 × 3,086.16
  4. Step 4: Simplify right side
    4,856.40x = 20,685,296.02
  5. Step 5: Solve for x
    x = 20,685,296.02/4,856.40
  6. Step 6: Final answer
    x = 4,259.39

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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.