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Finding the Fourth Proportional to 3,925.50, 5,420.43 and 3,396.30

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Solution

The fourth proportional to 3,925.50, 5,420.43 and 3,396.30 is: 4,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.50 : 5,420.43 = 3,396.30 : x
  2. Step 2: Convert to fraction form
    3,925.50/5,420.43 = 3,396.30/x
  3. Step 3: Cross multiply
    3,925.50x = 5,420.43 × 3,396.30
  4. Step 4: Simplify right side
    3,925.50x = 18,409,406.41
  5. Step 5: Solve for x
    x = 18,409,406.41/3,925.50
  6. Step 6: Final answer
    x = 4,689.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.