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Finding the Fourth Proportional to 5,419.50, 7,478.94 and 2,935.50

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Solution

The fourth proportional to 5,419.50, 7,478.94 and 2,935.50 is: 4,051.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.50 : 7,478.94 = 2,935.50 : x
  2. Step 2: Convert to fraction form
    5,419.50/7,478.94 = 2,935.50/x
  3. Step 3: Cross multiply
    5,419.50x = 7,478.94 × 2,935.50
  4. Step 4: Simplify right side
    5,419.50x = 21,954,428.37
  5. Step 5: Solve for x
    x = 21,954,428.37/5,419.50
  6. Step 6: Final answer
    x = 4,051.01

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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.