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Finding the Fourth Proportional to 3,820.35, 5,731.14 and 1,354.63

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Solution

The fourth proportional to 3,820.35, 5,731.14 and 1,354.63 is: 2,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.35 : 5,731.14 = 1,354.63 : x
  2. Step 2: Convert to fraction form
    3,820.35/5,731.14 = 1,354.63/x
  3. Step 3: Cross multiply
    3,820.35x = 5,731.14 × 1,354.63
  4. Step 4: Simplify right side
    3,820.35x = 7,763,574.18
  5. Step 5: Solve for x
    x = 7,763,574.18/3,820.35
  6. Step 6: Final answer
    x = 2,032.16

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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.