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Finding the Fourth Proportional to 5,829.70, 8,747.14 and 3,055.72

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Solution

The fourth proportional to 5,829.70, 8,747.14 and 3,055.72 is: 4,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.70 : 8,747.14 = 3,055.72 : x
  2. Step 2: Convert to fraction form
    5,829.70/8,747.14 = 3,055.72/x
  3. Step 3: Cross multiply
    5,829.70x = 8,747.14 × 3,055.72
  4. Step 4: Simplify right side
    5,829.70x = 26,728,810.64
  5. Step 5: Solve for x
    x = 26,728,810.64/5,829.70
  6. Step 6: Final answer
    x = 4,584.94

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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.