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Finding the Fourth Proportional to 4,893.60, 7,340.40 and 3,646.20

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Solution

The fourth proportional to 4,893.60, 7,340.40 and 3,646.20 is: 5,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.60 : 7,340.40 = 3,646.20 : x
  2. Step 2: Convert to fraction form
    4,893.60/7,340.40 = 3,646.20/x
  3. Step 3: Cross multiply
    4,893.60x = 7,340.40 × 3,646.20
  4. Step 4: Simplify right side
    4,893.60x = 26,764,566.48
  5. Step 5: Solve for x
    x = 26,764,566.48/4,893.60
  6. Step 6: Final answer
    x = 5,469.30

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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.