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Finding the Fourth Proportional to 3,755.34, 5,634.63 and 2,025.18

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Solution

The fourth proportional to 3,755.34, 5,634.63 and 2,025.18 is: 3,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.34 : 5,634.63 = 2,025.18 : x
  2. Step 2: Convert to fraction form
    3,755.34/5,634.63 = 2,025.18/x
  3. Step 3: Cross multiply
    3,755.34x = 5,634.63 × 2,025.18
  4. Step 4: Simplify right side
    3,755.34x = 11,411,139.98
  5. Step 5: Solve for x
    x = 11,411,139.98/3,755.34
  6. Step 6: Final answer
    x = 3,038.64

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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.