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Finding the Fourth Proportional to 3,818.35, 5,728.14 and 1,352.63

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Solution

The fourth proportional to 3,818.35, 5,728.14 and 1,352.63 is: 2,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.35 : 5,728.14 = 1,352.63 : x
  2. Step 2: Convert to fraction form
    3,818.35/5,728.14 = 1,352.63/x
  3. Step 3: Cross multiply
    3,818.35x = 5,728.14 × 1,352.63
  4. Step 4: Simplify right side
    3,818.35x = 7,748,054.01
  5. Step 5: Solve for x
    x = 7,748,054.01/3,818.35
  6. Step 6: Final answer
    x = 2,029.17

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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.