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Finding the Fourth Proportional to 3,534.90, 5,304.21 and 1,685.67

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Solution

The fourth proportional to 3,534.90, 5,304.21 and 1,685.67 is: 2,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.90 : 5,304.21 = 1,685.67 : x
  2. Step 2: Convert to fraction form
    3,534.90/5,304.21 = 1,685.67/x
  3. Step 3: Cross multiply
    3,534.90x = 5,304.21 × 1,685.67
  4. Step 4: Simplify right side
    3,534.90x = 8,941,147.67
  5. Step 5: Solve for x
    x = 8,941,147.67/3,534.90
  6. Step 6: Final answer
    x = 2,529.39

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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.