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Finding the Fourth Proportional to 3,820.44, 5,730.57 and 1,223.40

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Solution

The fourth proportional to 3,820.44, 5,730.57 and 1,223.40 is: 1,835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.44 : 5,730.57 = 1,223.40 : x
  2. Step 2: Convert to fraction form
    3,820.44/5,730.57 = 1,223.40/x
  3. Step 3: Cross multiply
    3,820.44x = 5,730.57 × 1,223.40
  4. Step 4: Simplify right side
    3,820.44x = 7,010,779.34
  5. Step 5: Solve for x
    x = 7,010,779.34/3,820.44
  6. Step 6: Final answer
    x = 1,835.07

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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.