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Finding the Fourth Proportional to 3,745.17, 5,620.66 and 1,407.30

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Solution

The fourth proportional to 3,745.17, 5,620.66 and 1,407.30 is: 2,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.17 : 5,620.66 = 1,407.30 : x
  2. Step 2: Convert to fraction form
    3,745.17/5,620.66 = 1,407.30/x
  3. Step 3: Cross multiply
    3,745.17x = 5,620.66 × 1,407.30
  4. Step 4: Simplify right side
    3,745.17x = 7,909,954.82
  5. Step 5: Solve for x
    x = 7,909,954.82/3,745.17
  6. Step 6: Final answer
    x = 2,112.04

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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.