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Finding the Fourth Proportional to 3,904.49, 5,858.10 and 1,713.39

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Solution

The fourth proportional to 3,904.49, 5,858.10 and 1,713.39 is: 2,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.49 : 5,858.10 = 1,713.39 : x
  2. Step 2: Convert to fraction form
    3,904.49/5,858.10 = 1,713.39/x
  3. Step 3: Cross multiply
    3,904.49x = 5,858.10 × 1,713.39
  4. Step 4: Simplify right side
    3,904.49x = 10,037,209.96
  5. Step 5: Solve for x
    x = 10,037,209.96/3,904.49
  6. Step 6: Final answer
    x = 2,570.68

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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.