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Finding the Fourth Proportional to 3,745.62, 5,619.53 and 1,113.14

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Solution

The fourth proportional to 3,745.62, 5,619.53 and 1,113.14 is: 1,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.62 : 5,619.53 = 1,113.14 : x
  2. Step 2: Convert to fraction form
    3,745.62/5,619.53 = 1,113.14/x
  3. Step 3: Cross multiply
    3,745.62x = 5,619.53 × 1,113.14
  4. Step 4: Simplify right side
    3,745.62x = 6,255,334.19
  5. Step 5: Solve for x
    x = 6,255,334.19/3,745.62
  6. Step 6: Final answer
    x = 1,670.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.