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Finding the Fourth Proportional to 3,645.59, 5,030.80 and 2,052.33

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Solution

The fourth proportional to 3,645.59, 5,030.80 and 2,052.33 is: 2,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.59 : 5,030.80 = 2,052.33 : x
  2. Step 2: Convert to fraction form
    3,645.59/5,030.80 = 2,052.33/x
  3. Step 3: Cross multiply
    3,645.59x = 5,030.80 × 2,052.33
  4. Step 4: Simplify right side
    3,645.59x = 10,324,845.46
  5. Step 5: Solve for x
    x = 10,324,845.46/3,645.59
  6. Step 6: Final answer
    x = 2,832.15

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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.