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Finding the Fourth Proportional to 5,382.34, 8,073.15 and 1,684.87

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Solution

The fourth proportional to 5,382.34, 8,073.15 and 1,684.87 is: 2,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.34 : 8,073.15 = 1,684.87 : x
  2. Step 2: Convert to fraction form
    5,382.34/8,073.15 = 1,684.87/x
  3. Step 3: Cross multiply
    5,382.34x = 8,073.15 × 1,684.87
  4. Step 4: Simplify right side
    5,382.34x = 13,602,208.24
  5. Step 5: Solve for x
    x = 13,602,208.24/5,382.34
  6. Step 6: Final answer
    x = 2,527.19

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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.