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Finding the Fourth Proportional to 4,882.57, 7,325.37 and 1,419.82

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Solution

The fourth proportional to 4,882.57, 7,325.37 and 1,419.82 is: 2,130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.57 : 7,325.37 = 1,419.82 : x
  2. Step 2: Convert to fraction form
    4,882.57/7,325.37 = 1,419.82/x
  3. Step 3: Cross multiply
    4,882.57x = 7,325.37 × 1,419.82
  4. Step 4: Simplify right side
    4,882.57x = 10,400,706.83
  5. Step 5: Solve for x
    x = 10,400,706.83/4,882.57
  6. Step 6: Final answer
    x = 2,130.17

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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.