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Finding the Fourth Proportional to 5,969.14, 8,953.71 and 2,073.54

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Solution

The fourth proportional to 5,969.14, 8,953.71 and 2,073.54 is: 3,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.14 : 8,953.71 = 2,073.54 : x
  2. Step 2: Convert to fraction form
    5,969.14/8,953.71 = 2,073.54/x
  3. Step 3: Cross multiply
    5,969.14x = 8,953.71 × 2,073.54
  4. Step 4: Simplify right side
    5,969.14x = 18,565,875.83
  5. Step 5: Solve for x
    x = 18,565,875.83/5,969.14
  6. Step 6: Final answer
    x = 3,110.31

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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.