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Finding the Fourth Proportional to 4,804.70, 7,206.18 and 1,294.94

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Solution

The fourth proportional to 4,804.70, 7,206.18 and 1,294.94 is: 1,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.70 : 7,206.18 = 1,294.94 : x
  2. Step 2: Convert to fraction form
    4,804.70/7,206.18 = 1,294.94/x
  3. Step 3: Cross multiply
    4,804.70x = 7,206.18 × 1,294.94
  4. Step 4: Simplify right side
    4,804.70x = 9,331,534.70
  5. Step 5: Solve for x
    x = 9,331,534.70/4,804.70
  6. Step 6: Final answer
    x = 1,942.17

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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.