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Finding the Fourth Proportional to 5,645.63, 8,467.77 and 1,485.96

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Solution

The fourth proportional to 5,645.63, 8,467.77 and 1,485.96 is: 2,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.63 : 8,467.77 = 1,485.96 : x
  2. Step 2: Convert to fraction form
    5,645.63/8,467.77 = 1,485.96/x
  3. Step 3: Cross multiply
    5,645.63x = 8,467.77 × 1,485.96
  4. Step 4: Simplify right side
    5,645.63x = 12,582,767.51
  5. Step 5: Solve for x
    x = 12,582,767.51/5,645.63
  6. Step 6: Final answer
    x = 2,228.76

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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.