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Finding the Fourth Proportional to 3,370.48, 5,055.70 and 905.09

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Solution

The fourth proportional to 3,370.48, 5,055.70 and 905.09 is: 1,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.48 : 5,055.70 = 905.09 : x
  2. Step 2: Convert to fraction form
    3,370.48/5,055.70 = 905.09/x
  3. Step 3: Cross multiply
    3,370.48x = 5,055.70 × 905.09
  4. Step 4: Simplify right side
    3,370.48x = 4,575,866.11
  5. Step 5: Solve for x
    x = 4,575,866.11/3,370.48
  6. Step 6: Final answer
    x = 1,357.63

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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.