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Finding the Fourth Proportional to 5,632.56, 8,451.54 and 2,169

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Solution

The fourth proportional to 5,632.56, 8,451.54 and 2,169 is: 3,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.56 : 8,451.54 = 2,169 : x
  2. Step 2: Convert to fraction form
    5,632.56/8,451.54 = 2,169/x
  3. Step 3: Cross multiply
    5,632.56x = 8,451.54 × 2,169
  4. Step 4: Simplify right side
    5,632.56x = 18,331,390.26
  5. Step 5: Solve for x
    x = 18,331,390.26/5,632.56
  6. Step 6: Final answer
    x = 3,254.54

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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.