Home / 5,730-8,596.26-1,834.41

Finding the Fourth Proportional to 5,730, 8,596.26 and 1,834.41

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Solution

The fourth proportional to 5,730, 8,596.26 and 1,834.41 is: 2,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730 : 8,596.26 = 1,834.41 : x
  2. Step 2: Convert to fraction form
    5,730/8,596.26 = 1,834.41/x
  3. Step 3: Cross multiply
    5,730x = 8,596.26 × 1,834.41
  4. Step 4: Simplify right side
    5,730x = 15,769,065.31
  5. Step 5: Solve for x
    x = 15,769,065.31/5,730
  6. Step 6: Final answer
    x = 2,752.02

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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.