Home / 5,116.38-7,674.33-1,829.70

Finding the Fourth Proportional to 5,116.38, 7,674.33 and 1,829.70

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Solution

The fourth proportional to 5,116.38, 7,674.33 and 1,829.70 is: 2,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.38 : 7,674.33 = 1,829.70 : x
  2. Step 2: Convert to fraction form
    5,116.38/7,674.33 = 1,829.70/x
  3. Step 3: Cross multiply
    5,116.38x = 7,674.33 × 1,829.70
  4. Step 4: Simplify right side
    5,116.38x = 14,041,721.60
  5. Step 5: Solve for x
    x = 14,041,721.60/5,116.38
  6. Step 6: Final answer
    x = 2,744.46

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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.