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Finding the Fourth Proportional to 4,648.62, 6,409.35 and 3,321.84

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Solution

The fourth proportional to 4,648.62, 6,409.35 and 3,321.84 is: 4,580.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.62 : 6,409.35 = 3,321.84 : x
  2. Step 2: Convert to fraction form
    4,648.62/6,409.35 = 3,321.84/x
  3. Step 3: Cross multiply
    4,648.62x = 6,409.35 × 3,321.84
  4. Step 4: Simplify right side
    4,648.62x = 21,290,835.20
  5. Step 5: Solve for x
    x = 21,290,835.20/4,648.62
  6. Step 6: Final answer
    x = 4,580.03

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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.