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Finding the Fourth Proportional to 5,349.63, 8,021.36 and 1,650.87

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Solution

The fourth proportional to 5,349.63, 8,021.36 and 1,650.87 is: 2,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.63 : 8,021.36 = 1,650.87 : x
  2. Step 2: Convert to fraction form
    5,349.63/8,021.36 = 1,650.87/x
  3. Step 3: Cross multiply
    5,349.63x = 8,021.36 × 1,650.87
  4. Step 4: Simplify right side
    5,349.63x = 13,242,222.58
  5. Step 5: Solve for x
    x = 13,242,222.58/5,349.63
  6. Step 6: Final answer
    x = 2,475.35

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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.