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Finding the Fourth Proportional to 5,835.40, 8,052.70 and 3,182.86

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Solution

The fourth proportional to 5,835.40, 8,052.70 and 3,182.86 is: 4,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.40 : 8,052.70 = 3,182.86 : x
  2. Step 2: Convert to fraction form
    5,835.40/8,052.70 = 3,182.86/x
  3. Step 3: Cross multiply
    5,835.40x = 8,052.70 × 3,182.86
  4. Step 4: Simplify right side
    5,835.40x = 25,630,616.72
  5. Step 5: Solve for x
    x = 25,630,616.72/5,835.40
  6. Step 6: Final answer
    x = 4,392.26

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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.