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Finding the Fourth Proportional to 3,184.77, 4,394.90 and 1,858.39

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Solution

The fourth proportional to 3,184.77, 4,394.90 and 1,858.39 is: 2,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.77 : 4,394.90 = 1,858.39 : x
  2. Step 2: Convert to fraction form
    3,184.77/4,394.90 = 1,858.39/x
  3. Step 3: Cross multiply
    3,184.77x = 4,394.90 × 1,858.39
  4. Step 4: Simplify right side
    3,184.77x = 8,167,438.21
  5. Step 5: Solve for x
    x = 8,167,438.21/3,184.77
  6. Step 6: Final answer
    x = 2,564.53

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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.