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Finding the Fourth Proportional to 3,406.48, 5,107 and 3,133.12

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Solution

The fourth proportional to 3,406.48, 5,107 and 3,133.12 is: 4,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.48 : 5,107 = 3,133.12 : x
  2. Step 2: Convert to fraction form
    3,406.48/5,107 = 3,133.12/x
  3. Step 3: Cross multiply
    3,406.48x = 5,107 × 3,133.12
  4. Step 4: Simplify right side
    3,406.48x = 16,000,843.84
  5. Step 5: Solve for x
    x = 16,000,843.84/3,406.48
  6. Step 6: Final answer
    x = 4,697.18

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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.