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Finding the Fourth Proportional to 4,114.46, 6,172.10 and 1,193.20

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Solution

The fourth proportional to 4,114.46, 6,172.10 and 1,193.20 is: 1,789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.46 : 6,172.10 = 1,193.20 : x
  2. Step 2: Convert to fraction form
    4,114.46/6,172.10 = 1,193.20/x
  3. Step 3: Cross multiply
    4,114.46x = 6,172.10 × 1,193.20
  4. Step 4: Simplify right side
    4,114.46x = 7,364,549.72
  5. Step 5: Solve for x
    x = 7,364,549.72/4,114.46
  6. Step 6: Final answer
    x = 1,789.92

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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.