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Finding the Fourth Proportional to 4,113.63, 6,170.44 and 1,035.63

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Solution

The fourth proportional to 4,113.63, 6,170.44 and 1,035.63 is: 1,553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.63 : 6,170.44 = 1,035.63 : x
  2. Step 2: Convert to fraction form
    4,113.63/6,170.44 = 1,035.63/x
  3. Step 3: Cross multiply
    4,113.63x = 6,170.44 × 1,035.63
  4. Step 4: Simplify right side
    4,113.63x = 6,390,292.78
  5. Step 5: Solve for x
    x = 6,390,292.78/4,113.63
  6. Step 6: Final answer
    x = 1,553.44

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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.