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Finding the Fourth Proportional to 3,532.53, 4,871.37 and 3,000.84

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Solution

The fourth proportional to 3,532.53, 4,871.37 and 3,000.84 is: 4,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.53 : 4,871.37 = 3,000.84 : x
  2. Step 2: Convert to fraction form
    3,532.53/4,871.37 = 3,000.84/x
  3. Step 3: Cross multiply
    3,532.53x = 4,871.37 × 3,000.84
  4. Step 4: Simplify right side
    3,532.53x = 14,618,201.95
  5. Step 5: Solve for x
    x = 14,618,201.95/3,532.53
  6. Step 6: Final answer
    x = 4,138.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.