Home / 5,723-8,582.68-1,826.50

Finding the Fourth Proportional to 5,723, 8,582.68 and 1,826.50

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Solution

The fourth proportional to 5,723, 8,582.68 and 1,826.50 is: 2,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723 : 8,582.68 = 1,826.50 : x
  2. Step 2: Convert to fraction form
    5,723/8,582.68 = 1,826.50/x
  3. Step 3: Cross multiply
    5,723x = 8,582.68 × 1,826.50
  4. Step 4: Simplify right side
    5,723x = 15,676,265.02
  5. Step 5: Solve for x
    x = 15,676,265.02/5,723
  6. Step 6: Final answer
    x = 2,739.17

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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.