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Finding the Fourth Proportional to 4,878.34, 6,730.93 and 2,889.38

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Solution

The fourth proportional to 4,878.34, 6,730.93 and 2,889.38 is: 3,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.34 : 6,730.93 = 2,889.38 : x
  2. Step 2: Convert to fraction form
    4,878.34/6,730.93 = 2,889.38/x
  3. Step 3: Cross multiply
    4,878.34x = 6,730.93 × 2,889.38
  4. Step 4: Simplify right side
    4,878.34x = 19,448,234.96
  5. Step 5: Solve for x
    x = 19,448,234.96/4,878.34
  6. Step 6: Final answer
    x = 3,986.65

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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.