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Finding the Fourth Proportional to 5,984.64, 8,976.30 and 1,542.36

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Solution

The fourth proportional to 5,984.64, 8,976.30 and 1,542.36 is: 2,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.64 : 8,976.30 = 1,542.36 : x
  2. Step 2: Convert to fraction form
    5,984.64/8,976.30 = 1,542.36/x
  3. Step 3: Cross multiply
    5,984.64x = 8,976.30 × 1,542.36
  4. Step 4: Simplify right side
    5,984.64x = 13,844,686.07
  5. Step 5: Solve for x
    x = 13,844,686.07/5,984.64
  6. Step 6: Final answer
    x = 2,313.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.