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Finding the Fourth Proportional to 6,283.42, 8,661.19 and 5,020.49

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Solution

The fourth proportional to 6,283.42, 8,661.19 and 5,020.49 is: 6,920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.42 : 8,661.19 = 5,020.49 : x
  2. Step 2: Convert to fraction form
    6,283.42/8,661.19 = 5,020.49/x
  3. Step 3: Cross multiply
    6,283.42x = 8,661.19 × 5,020.49
  4. Step 4: Simplify right side
    6,283.42x = 43,483,417.78
  5. Step 5: Solve for x
    x = 43,483,417.78/6,283.42
  6. Step 6: Final answer
    x = 6,920.34

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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.