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Finding the Fourth Proportional to 4,847.42, 7,272.96 and 3,302.00

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Solution

The fourth proportional to 4,847.42, 7,272.96 and 3,302.00 is: 4,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.42 : 7,272.96 = 3,302.00 : x
  2. Step 2: Convert to fraction form
    4,847.42/7,272.96 = 3,302.00/x
  3. Step 3: Cross multiply
    4,847.42x = 7,272.96 × 3,302.00
  4. Step 4: Simplify right side
    4,847.42x = 24,015,320.31
  5. Step 5: Solve for x
    x = 24,015,320.31/4,847.42
  6. Step 6: Final answer
    x = 4,954.25

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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.