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Finding the Fourth Proportional to 5,984.64, 8,980.92 and 4,012.56

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Solution

The fourth proportional to 5,984.64, 8,980.92 and 4,012.56 is: 6,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.64 : 8,980.92 = 4,012.56 : x
  2. Step 2: Convert to fraction form
    5,984.64/8,980.92 = 4,012.56/x
  3. Step 3: Cross multiply
    5,984.64x = 8,980.92 × 4,012.56
  4. Step 4: Simplify right side
    5,984.64x = 36,036,480.36
  5. Step 5: Solve for x
    x = 36,036,480.36/5,984.64
  6. Step 6: Final answer
    x = 6,021.50

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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.