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Finding the Fourth Proportional to 3,820.47, 5,730.78 and 1,223.42

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Solution

The fourth proportional to 3,820.47, 5,730.78 and 1,223.42 is: 1,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.47 : 5,730.78 = 1,223.42 : x
  2. Step 2: Convert to fraction form
    3,820.47/5,730.78 = 1,223.42/x
  3. Step 3: Cross multiply
    3,820.47x = 5,730.78 × 1,223.42
  4. Step 4: Simplify right side
    3,820.47x = 7,011,122.21
  5. Step 5: Solve for x
    x = 7,011,122.21/3,820.47
  6. Step 6: Final answer
    x = 1,835.15

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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.