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Finding the Fourth Proportional to 4,716.40, 7,072.80 and 1,428.40

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Solution

The fourth proportional to 4,716.40, 7,072.80 and 1,428.40 is: 2,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.40 : 7,072.80 = 1,428.40 : x
  2. Step 2: Convert to fraction form
    4,716.40/7,072.80 = 1,428.40/x
  3. Step 3: Cross multiply
    4,716.40x = 7,072.80 × 1,428.40
  4. Step 4: Simplify right side
    4,716.40x = 10,102,787.52
  5. Step 5: Solve for x
    x = 10,102,787.52/4,716.40
  6. Step 6: Final answer
    x = 2,142.05

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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.