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Finding the Fourth Proportional to 4,504.16, 6,758.56 and 3,408.16

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Solution

The fourth proportional to 4,504.16, 6,758.56 and 3,408.16 is: 5,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,504.16 : 6,758.56 = 3,408.16 : x
  2. Step 2: Convert to fraction form
    4,504.16/6,758.56 = 3,408.16/x
  3. Step 3: Cross multiply
    4,504.16x = 6,758.56 × 3,408.16
  4. Step 4: Simplify right side
    4,504.16x = 23,034,253.85
  5. Step 5: Solve for x
    x = 23,034,253.85/4,504.16
  6. Step 6: Final answer
    x = 5,114.00

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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.