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Finding the Fourth Proportional to 4,847.84, 7,272.06 and 1,561.47

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Solution

The fourth proportional to 4,847.84, 7,272.06 and 1,561.47 is: 2,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.84 : 7,272.06 = 1,561.47 : x
  2. Step 2: Convert to fraction form
    4,847.84/7,272.06 = 1,561.47/x
  3. Step 3: Cross multiply
    4,847.84x = 7,272.06 × 1,561.47
  4. Step 4: Simplify right side
    4,847.84x = 11,355,103.53
  5. Step 5: Solve for x
    x = 11,355,103.53/4,847.84
  6. Step 6: Final answer
    x = 2,342.30

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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.