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Finding the Fourth Proportional to 4,074.64, 5,623 and 2,211.64

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Solution

The fourth proportional to 4,074.64, 5,623 and 2,211.64 is: 3,052.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.64 : 5,623 = 2,211.64 : x
  2. Step 2: Convert to fraction form
    4,074.64/5,623 = 2,211.64/x
  3. Step 3: Cross multiply
    4,074.64x = 5,623 × 2,211.64
  4. Step 4: Simplify right side
    4,074.64x = 12,436,051.72
  5. Step 5: Solve for x
    x = 12,436,051.72/4,074.64
  6. Step 6: Final answer
    x = 3,052.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.