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Finding the Fourth Proportional to 3,645.70, 5,030.66 and 2,052.43

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Solution

The fourth proportional to 3,645.70, 5,030.66 and 2,052.43 is: 2,832.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.70 : 5,030.66 = 2,052.43 : x
  2. Step 2: Convert to fraction form
    3,645.70/5,030.66 = 2,052.43/x
  3. Step 3: Cross multiply
    3,645.70x = 5,030.66 × 2,052.43
  4. Step 4: Simplify right side
    3,645.70x = 10,325,070.06
  5. Step 5: Solve for x
    x = 10,325,070.06/3,645.70
  6. Step 6: Final answer
    x = 2,832.12

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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.