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Finding the Fourth Proportional to 4,978.40, 6,869.09 and 2,881.31

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Solution

The fourth proportional to 4,978.40, 6,869.09 and 2,881.31 is: 3,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.40 : 6,869.09 = 2,881.31 : x
  2. Step 2: Convert to fraction form
    4,978.40/6,869.09 = 2,881.31/x
  3. Step 3: Cross multiply
    4,978.40x = 6,869.09 × 2,881.31
  4. Step 4: Simplify right side
    4,978.40x = 19,792,002.08
  5. Step 5: Solve for x
    x = 19,792,002.08/4,978.40
  6. Step 6: Final answer
    x = 3,975.57

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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.