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Finding the Fourth Proportional to 3,364.06, 5,046.10 and 1,172.20

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Solution

The fourth proportional to 3,364.06, 5,046.10 and 1,172.20 is: 1,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.06 : 5,046.10 = 1,172.20 : x
  2. Step 2: Convert to fraction form
    3,364.06/5,046.10 = 1,172.20/x
  3. Step 3: Cross multiply
    3,364.06x = 5,046.10 × 1,172.20
  4. Step 4: Simplify right side
    3,364.06x = 5,915,038.42
  5. Step 5: Solve for x
    x = 5,915,038.42/3,364.06
  6. Step 6: Final answer
    x = 1,758.30

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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.