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Finding the Fourth Proportional to 3,411.77, 5,114.46 and 3,107.44

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Solution

The fourth proportional to 3,411.77, 5,114.46 and 3,107.44 is: 4,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.77 : 5,114.46 = 3,107.44 : x
  2. Step 2: Convert to fraction form
    3,411.77/5,114.46 = 3,107.44/x
  3. Step 3: Cross multiply
    3,411.77x = 5,114.46 × 3,107.44
  4. Step 4: Simplify right side
    3,411.77x = 15,892,852.01
  5. Step 5: Solve for x
    x = 15,892,852.01/3,411.77
  6. Step 6: Final answer
    x = 4,658.24

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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.