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Finding the Fourth Proportional to 4,648.82, 6,416.40 and 3,638.52

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Solution

The fourth proportional to 4,648.82, 6,416.40 and 3,638.52 is: 5,021.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.82 : 6,416.40 = 3,638.52 : x
  2. Step 2: Convert to fraction form
    4,648.82/6,416.40 = 3,638.52/x
  3. Step 3: Cross multiply
    4,648.82x = 6,416.40 × 3,638.52
  4. Step 4: Simplify right side
    4,648.82x = 23,346,199.73
  5. Step 5: Solve for x
    x = 23,346,199.73/4,648.82
  6. Step 6: Final answer
    x = 5,021.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.