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Finding the Fourth Proportional to 4,648.19, 6,973.16 and 3,829.82

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Solution

The fourth proportional to 4,648.19, 6,973.16 and 3,829.82 is: 5,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.19 : 6,973.16 = 3,829.82 : x
  2. Step 2: Convert to fraction form
    4,648.19/6,973.16 = 3,829.82/x
  3. Step 3: Cross multiply
    4,648.19x = 6,973.16 × 3,829.82
  4. Step 4: Simplify right side
    4,648.19x = 26,705,893.62
  5. Step 5: Solve for x
    x = 26,705,893.62/4,648.19
  6. Step 6: Final answer
    x = 5,745.45

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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.