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Finding the Fourth Proportional to 3,829.76, 5,743.86 and 1,055.72

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Solution

The fourth proportional to 3,829.76, 5,743.86 and 1,055.72 is: 1,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.76 : 5,743.86 = 1,055.72 : x
  2. Step 2: Convert to fraction form
    3,829.76/5,743.86 = 1,055.72/x
  3. Step 3: Cross multiply
    3,829.76x = 5,743.86 × 1,055.72
  4. Step 4: Simplify right side
    3,829.76x = 6,063,907.88
  5. Step 5: Solve for x
    x = 6,063,907.88/3,829.76
  6. Step 6: Final answer
    x = 1,583.36

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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.