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Finding the Fourth Proportional to 3,410.57, 4,706.10 and 1,918.43

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Solution

The fourth proportional to 3,410.57, 4,706.10 and 1,918.43 is: 2,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.57 : 4,706.10 = 1,918.43 : x
  2. Step 2: Convert to fraction form
    3,410.57/4,706.10 = 1,918.43/x
  3. Step 3: Cross multiply
    3,410.57x = 4,706.10 × 1,918.43
  4. Step 4: Simplify right side
    3,410.57x = 9,028,323.42
  5. Step 5: Solve for x
    x = 9,028,323.42/3,410.57
  6. Step 6: Final answer
    x = 2,647.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.