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Finding the Fourth Proportional to 4,905.60, 7,357.05 and 1,984.20

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Solution

The fourth proportional to 4,905.60, 7,357.05 and 1,984.20 is: 2,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.60 : 7,357.05 = 1,984.20 : x
  2. Step 2: Convert to fraction form
    4,905.60/7,357.05 = 1,984.20/x
  3. Step 3: Cross multiply
    4,905.60x = 7,357.05 × 1,984.20
  4. Step 4: Simplify right side
    4,905.60x = 14,597,858.61
  5. Step 5: Solve for x
    x = 14,597,858.61/4,905.60
  6. Step 6: Final answer
    x = 2,975.75

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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.