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Finding the Fourth Proportional to 3,438.45, 5,152.01 and 1,792.53

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Solution

The fourth proportional to 3,438.45, 5,152.01 and 1,792.53 is: 2,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.45 : 5,152.01 = 1,792.53 : x
  2. Step 2: Convert to fraction form
    3,438.45/5,152.01 = 1,792.53/x
  3. Step 3: Cross multiply
    3,438.45x = 5,152.01 × 1,792.53
  4. Step 4: Simplify right side
    3,438.45x = 9,235,123.52
  5. Step 5: Solve for x
    x = 9,235,123.52/3,438.45
  6. Step 6: Final answer
    x = 2,685.84

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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.