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Finding the Fourth Proportional to 3,271.37, 4,514.63 and 1,835.87

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Solution

The fourth proportional to 3,271.37, 4,514.63 and 1,835.87 is: 2,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.37 : 4,514.63 = 1,835.87 : x
  2. Step 2: Convert to fraction form
    3,271.37/4,514.63 = 1,835.87/x
  3. Step 3: Cross multiply
    3,271.37x = 4,514.63 × 1,835.87
  4. Step 4: Simplify right side
    3,271.37x = 8,288,242.03
  5. Step 5: Solve for x
    x = 8,288,242.03/3,271.37
  6. Step 6: Final answer
    x = 2,533.57

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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.