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Finding the Fourth Proportional to 3,807.50, 5,712.09 and 1,618.10

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Solution

The fourth proportional to 3,807.50, 5,712.09 and 1,618.10 is: 2,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.50 : 5,712.09 = 1,618.10 : x
  2. Step 2: Convert to fraction form
    3,807.50/5,712.09 = 1,618.10/x
  3. Step 3: Cross multiply
    3,807.50x = 5,712.09 × 1,618.10
  4. Step 4: Simplify right side
    3,807.50x = 9,242,732.83
  5. Step 5: Solve for x
    x = 9,242,732.83/3,807.50
  6. Step 6: Final answer
    x = 2,427.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.