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Finding the Fourth Proportional to 5,682.50, 7,842.30 and 3,165.02

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Solution

The fourth proportional to 5,682.50, 7,842.30 and 3,165.02 is: 4,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.50 : 7,842.30 = 3,165.02 : x
  2. Step 2: Convert to fraction form
    5,682.50/7,842.30 = 3,165.02/x
  3. Step 3: Cross multiply
    5,682.50x = 7,842.30 × 3,165.02
  4. Step 4: Simplify right side
    5,682.50x = 24,821,036.35
  5. Step 5: Solve for x
    x = 24,821,036.35/5,682.50
  6. Step 6: Final answer
    x = 4,367.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.