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Finding the Fourth Proportional to 3,750.30, 5,646.22 and 3,314.05

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Solution

The fourth proportional to 3,750.30, 5,646.22 and 3,314.05 is: 4,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.30 : 5,646.22 = 3,314.05 : x
  2. Step 2: Convert to fraction form
    3,750.30/5,646.22 = 3,314.05/x
  3. Step 3: Cross multiply
    3,750.30x = 5,646.22 × 3,314.05
  4. Step 4: Simplify right side
    3,750.30x = 18,711,832.99
  5. Step 5: Solve for x
    x = 18,711,832.99/3,750.30
  6. Step 6: Final answer
    x = 4,989.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.