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Finding the Fourth Proportional to 3,428.14, 4,719.39 and 3,271.42

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Solution

The fourth proportional to 3,428.14, 4,719.39 and 3,271.42 is: 4,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.14 : 4,719.39 = 3,271.42 : x
  2. Step 2: Convert to fraction form
    3,428.14/4,719.39 = 3,271.42/x
  3. Step 3: Cross multiply
    3,428.14x = 4,719.39 × 3,271.42
  4. Step 4: Simplify right side
    3,428.14x = 15,439,106.83
  5. Step 5: Solve for x
    x = 15,439,106.83/3,428.14
  6. Step 6: Final answer
    x = 4,503.64

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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.