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Finding the Fourth Proportional to 4,929.60, 7,394.40 and 3,086.40

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Solution

The fourth proportional to 4,929.60, 7,394.40 and 3,086.40 is: 4,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.60 : 7,394.40 = 3,086.40 : x
  2. Step 2: Convert to fraction form
    4,929.60/7,394.40 = 3,086.40/x
  3. Step 3: Cross multiply
    4,929.60x = 7,394.40 × 3,086.40
  4. Step 4: Simplify right side
    4,929.60x = 22,822,076.16
  5. Step 5: Solve for x
    x = 22,822,076.16/4,929.60
  6. Step 6: Final answer
    x = 4,629.60

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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.