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Finding the Fourth Proportional to 3,586.98, 5,381.28 and 1,638.12

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Solution

The fourth proportional to 3,586.98, 5,381.28 and 1,638.12 is: 2,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.98 : 5,381.28 = 1,638.12 : x
  2. Step 2: Convert to fraction form
    3,586.98/5,381.28 = 1,638.12/x
  3. Step 3: Cross multiply
    3,586.98x = 5,381.28 × 1,638.12
  4. Step 4: Simplify right side
    3,586.98x = 8,815,182.39
  5. Step 5: Solve for x
    x = 8,815,182.39/3,586.98
  6. Step 6: Final answer
    x = 2,457.55

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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.