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Finding the Fourth Proportional to 5,682.72, 8,514.90 and 3,210.18

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Solution

The fourth proportional to 5,682.72, 8,514.90 and 3,210.18 is: 4,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.72 : 8,514.90 = 3,210.18 : x
  2. Step 2: Convert to fraction form
    5,682.72/8,514.90 = 3,210.18/x
  3. Step 3: Cross multiply
    5,682.72x = 8,514.90 × 3,210.18
  4. Step 4: Simplify right side
    5,682.72x = 27,334,361.68
  5. Step 5: Solve for x
    x = 27,334,361.68/5,682.72
  6. Step 6: Final answer
    x = 4,810.08

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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.