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Finding the Fourth Proportional to 3,750.90, 5,622.49 and 1,410.47

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Solution

The fourth proportional to 3,750.90, 5,622.49 and 1,410.47 is: 2,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.90 : 5,622.49 = 1,410.47 : x
  2. Step 2: Convert to fraction form
    3,750.90/5,622.49 = 1,410.47/x
  3. Step 3: Cross multiply
    3,750.90x = 5,622.49 × 1,410.47
  4. Step 4: Simplify right side
    3,750.90x = 7,930,353.47
  5. Step 5: Solve for x
    x = 7,930,353.47/3,750.90
  6. Step 6: Final answer
    x = 2,114.25

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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.