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Finding the Fourth Proportional to 5,693.46, 8,541.33 and 2,406.55

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Solution

The fourth proportional to 5,693.46, 8,541.33 and 2,406.55 is: 3,610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.46 : 8,541.33 = 2,406.55 : x
  2. Step 2: Convert to fraction form
    5,693.46/8,541.33 = 2,406.55/x
  3. Step 3: Cross multiply
    5,693.46x = 8,541.33 × 2,406.55
  4. Step 4: Simplify right side
    5,693.46x = 20,555,137.71
  5. Step 5: Solve for x
    x = 20,555,137.71/5,693.46
  6. Step 6: Final answer
    x = 3,610.31

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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.