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Finding the Fourth Proportional to 4,135.34, 5,673.02 and 4,010.48

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Solution

The fourth proportional to 4,135.34, 5,673.02 and 4,010.48 is: 5,501.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.34 : 5,673.02 = 4,010.48 : x
  2. Step 2: Convert to fraction form
    4,135.34/5,673.02 = 4,010.48/x
  3. Step 3: Cross multiply
    4,135.34x = 5,673.02 × 4,010.48
  4. Step 4: Simplify right side
    4,135.34x = 22,751,533.25
  5. Step 5: Solve for x
    x = 22,751,533.25/4,135.34
  6. Step 6: Final answer
    x = 5,501.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.