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Finding the Fourth Proportional to 3,534.53, 5,302.26 and 1,193.54

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Solution

The fourth proportional to 3,534.53, 5,302.26 and 1,193.54 is: 1,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.53 : 5,302.26 = 1,193.54 : x
  2. Step 2: Convert to fraction form
    3,534.53/5,302.26 = 1,193.54/x
  3. Step 3: Cross multiply
    3,534.53x = 5,302.26 × 1,193.54
  4. Step 4: Simplify right side
    3,534.53x = 6,328,432.89
  5. Step 5: Solve for x
    x = 6,328,432.89/3,534.53
  6. Step 6: Final answer
    x = 1,790.46

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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.