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Finding the Fourth Proportional to 3,718.64, 5,577.80 and 1,638.09

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Solution

The fourth proportional to 3,718.64, 5,577.80 and 1,638.09 is: 2,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.64 : 5,577.80 = 1,638.09 : x
  2. Step 2: Convert to fraction form
    3,718.64/5,577.80 = 1,638.09/x
  3. Step 3: Cross multiply
    3,718.64x = 5,577.80 × 1,638.09
  4. Step 4: Simplify right side
    3,718.64x = 9,136,930.21
  5. Step 5: Solve for x
    x = 9,136,930.21/3,718.64
  6. Step 6: Final answer
    x = 2,457.06

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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.