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Finding the Fourth Proportional to 4,890.38, 6,746.24 and 3,094.82

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Solution

The fourth proportional to 4,890.38, 6,746.24 and 3,094.82 is: 4,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890.38 : 6,746.24 = 3,094.82 : x
  2. Step 2: Convert to fraction form
    4,890.38/6,746.24 = 3,094.82/x
  3. Step 3: Cross multiply
    4,890.38x = 6,746.24 × 3,094.82
  4. Step 4: Simplify right side
    4,890.38x = 20,878,418.32
  5. Step 5: Solve for x
    x = 20,878,418.32/4,890.38
  6. Step 6: Final answer
    x = 4,269.29

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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.