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Finding the Fourth Proportional to 5,992.63, 8,992.40 and 2,482.00

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Solution

The fourth proportional to 5,992.63, 8,992.40 and 2,482.00 is: 3,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.63 : 8,992.40 = 2,482.00 : x
  2. Step 2: Convert to fraction form
    5,992.63/8,992.40 = 2,482.00/x
  3. Step 3: Cross multiply
    5,992.63x = 8,992.40 × 2,482.00
  4. Step 4: Simplify right side
    5,992.63x = 22,319,101.91
  5. Step 5: Solve for x
    x = 22,319,101.91/5,992.63
  6. Step 6: Final answer
    x = 3,724.43

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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.