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Finding the Fourth Proportional to 4,903.14, 7,355.94 and 1,440.42

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Solution

The fourth proportional to 4,903.14, 7,355.94 and 1,440.42 is: 2,160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.14 : 7,355.94 = 1,440.42 : x
  2. Step 2: Convert to fraction form
    4,903.14/7,355.94 = 1,440.42/x
  3. Step 3: Cross multiply
    4,903.14x = 7,355.94 × 1,440.42
  4. Step 4: Simplify right side
    4,903.14x = 10,595,643.09
  5. Step 5: Solve for x
    x = 10,595,643.09/4,903.14
  6. Step 6: Final answer
    x = 2,160.99

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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.