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Finding the Fourth Proportional to 5,381.10, 8,071.02 and 1,683

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Solution

The fourth proportional to 5,381.10, 8,071.02 and 1,683 is: 2,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.10 : 8,071.02 = 1,683 : x
  2. Step 2: Convert to fraction form
    5,381.10/8,071.02 = 1,683/x
  3. Step 3: Cross multiply
    5,381.10x = 8,071.02 × 1,683
  4. Step 4: Simplify right side
    5,381.10x = 13,583,526.66
  5. Step 5: Solve for x
    x = 13,583,526.66/5,381.10
  6. Step 6: Final answer
    x = 2,524.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.