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Finding the Fourth Proportional to 3,823.87, 5,735.22 and 1,050.76

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Solution

The fourth proportional to 3,823.87, 5,735.22 and 1,050.76 is: 1,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.87 : 5,735.22 = 1,050.76 : x
  2. Step 2: Convert to fraction form
    3,823.87/5,735.22 = 1,050.76/x
  3. Step 3: Cross multiply
    3,823.87x = 5,735.22 × 1,050.76
  4. Step 4: Simplify right side
    3,823.87x = 6,026,339.77
  5. Step 5: Solve for x
    x = 6,026,339.77/3,823.87
  6. Step 6: Final answer
    x = 1,575.98

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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.