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Finding the Fourth Proportional to 5,630.25, 8,446.50 and 1,734.49

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Solution

The fourth proportional to 5,630.25, 8,446.50 and 1,734.49 is: 2,602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.25 : 8,446.50 = 1,734.49 : x
  2. Step 2: Convert to fraction form
    5,630.25/8,446.50 = 1,734.49/x
  3. Step 3: Cross multiply
    5,630.25x = 8,446.50 × 1,734.49
  4. Step 4: Simplify right side
    5,630.25x = 14,650,361.11
  5. Step 5: Solve for x
    x = 14,650,361.11/5,630.25
  6. Step 6: Final answer
    x = 2,602.08

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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.