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Finding the Fourth Proportional to 5,381.64, 8,073.27 and 1,683.45

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Solution

The fourth proportional to 5,381.64, 8,073.27 and 1,683.45 is: 2,525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.64 : 8,073.27 = 1,683.45 : x
  2. Step 2: Convert to fraction form
    5,381.64/8,073.27 = 1,683.45/x
  3. Step 3: Cross multiply
    5,381.64x = 8,073.27 × 1,683.45
  4. Step 4: Simplify right side
    5,381.64x = 13,590,946.38
  5. Step 5: Solve for x
    x = 13,590,946.38/5,381.64
  6. Step 6: Final answer
    x = 2,525.43

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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.