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Finding the Fourth Proportional to 3,838.30, 5,756.10 and 1,373.20

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Solution

The fourth proportional to 3,838.30, 5,756.10 and 1,373.20 is: 2,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.30 : 5,756.10 = 1,373.20 : x
  2. Step 2: Convert to fraction form
    3,838.30/5,756.10 = 1,373.20/x
  3. Step 3: Cross multiply
    3,838.30x = 5,756.10 × 1,373.20
  4. Step 4: Simplify right side
    3,838.30x = 7,904,276.52
  5. Step 5: Solve for x
    x = 7,904,276.52/3,838.30
  6. Step 6: Final answer
    x = 2,059.32

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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.