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Finding the Fourth Proportional to 4,804.14, 7,206.49 and 1,341.38

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Solution

The fourth proportional to 4,804.14, 7,206.49 and 1,341.38 is: 2,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.14 : 7,206.49 = 1,341.38 : x
  2. Step 2: Convert to fraction form
    4,804.14/7,206.49 = 1,341.38/x
  3. Step 3: Cross multiply
    4,804.14x = 7,206.49 × 1,341.38
  4. Step 4: Simplify right side
    4,804.14x = 9,666,641.56
  5. Step 5: Solve for x
    x = 9,666,641.56/4,804.14
  6. Step 6: Final answer
    x = 2,012.15

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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.