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Finding the Fourth Proportional to 5,347.86, 8,021.34 and 1,650.12

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Solution

The fourth proportional to 5,347.86, 8,021.34 and 1,650.12 is: 2,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.86 : 8,021.34 = 1,650.12 : x
  2. Step 2: Convert to fraction form
    5,347.86/8,021.34 = 1,650.12/x
  3. Step 3: Cross multiply
    5,347.86x = 8,021.34 × 1,650.12
  4. Step 4: Simplify right side
    5,347.86x = 13,236,203.64
  5. Step 5: Solve for x
    x = 13,236,203.64/5,347.86
  6. Step 6: Final answer
    x = 2,475.05

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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.