Home / 3,904.50-5,857.56-1,596

Finding the Fourth Proportional to 3,904.50, 5,857.56 and 1,596

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Solution

The fourth proportional to 3,904.50, 5,857.56 and 1,596 is: 2,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.50 : 5,857.56 = 1,596 : x
  2. Step 2: Convert to fraction form
    3,904.50/5,857.56 = 1,596/x
  3. Step 3: Cross multiply
    3,904.50x = 5,857.56 × 1,596
  4. Step 4: Simplify right side
    3,904.50x = 9,348,665.76
  5. Step 5: Solve for x
    x = 9,348,665.76/3,904.50
  6. Step 6: Final answer
    x = 2,394.33

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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.