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Finding the Fourth Proportional to 3,830.70, 5,745.27 and 1,056.65

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Solution

The fourth proportional to 3,830.70, 5,745.27 and 1,056.65 is: 1,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.70 : 5,745.27 = 1,056.65 : x
  2. Step 2: Convert to fraction form
    3,830.70/5,745.27 = 1,056.65/x
  3. Step 3: Cross multiply
    3,830.70x = 5,745.27 × 1,056.65
  4. Step 4: Simplify right side
    3,830.70x = 6,070,710.82
  5. Step 5: Solve for x
    x = 6,070,710.82/3,830.70
  6. Step 6: Final answer
    x = 1,584.75

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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.