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Finding the Fourth Proportional to 3,730.88, 5,148.63 and 2,052.29

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Solution

The fourth proportional to 3,730.88, 5,148.63 and 2,052.29 is: 2,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.88 : 5,148.63 = 2,052.29 : x
  2. Step 2: Convert to fraction form
    3,730.88/5,148.63 = 2,052.29/x
  3. Step 3: Cross multiply
    3,730.88x = 5,148.63 × 2,052.29
  4. Step 4: Simplify right side
    3,730.88x = 10,566,456.12
  5. Step 5: Solve for x
    x = 10,566,456.12/3,730.88
  6. Step 6: Final answer
    x = 2,832.17

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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.