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Finding the Fourth Proportional to 4,486, 6,730.37 and 2,296.28

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Solution

The fourth proportional to 4,486, 6,730.37 and 2,296.28 is: 3,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486 : 6,730.37 = 2,296.28 : x
  2. Step 2: Convert to fraction form
    4,486/6,730.37 = 2,296.28/x
  3. Step 3: Cross multiply
    4,486x = 6,730.37 × 2,296.28
  4. Step 4: Simplify right side
    4,486x = 15,454,814.02
  5. Step 5: Solve for x
    x = 15,454,814.02/4,486
  6. Step 6: Final answer
    x = 3,445.12

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Why These Related Problems?

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