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Finding the Fourth Proportional to 3,648.40, 5,458.20 and 3,302.80

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Solution

The fourth proportional to 3,648.40, 5,458.20 and 3,302.80 is: 4,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.40 : 5,458.20 = 3,302.80 : x
  2. Step 2: Convert to fraction form
    3,648.40/5,458.20 = 3,302.80/x
  3. Step 3: Cross multiply
    3,648.40x = 5,458.20 × 3,302.80
  4. Step 4: Simplify right side
    3,648.40x = 18,027,342.96
  5. Step 5: Solve for x
    x = 18,027,342.96/3,648.40
  6. Step 6: Final answer
    x = 4,941.16

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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.