Home / 5,726.02-8,589-1,829.50

Finding the Fourth Proportional to 5,726.02, 8,589 and 1,829.50

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Solution

The fourth proportional to 5,726.02, 8,589 and 1,829.50 is: 2,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.02 : 8,589 = 1,829.50 : x
  2. Step 2: Convert to fraction form
    5,726.02/8,589 = 1,829.50/x
  3. Step 3: Cross multiply
    5,726.02x = 8,589 × 1,829.50
  4. Step 4: Simplify right side
    5,726.02x = 15,713,575.50
  5. Step 5: Solve for x
    x = 15,713,575.50/5,726.02
  6. Step 6: Final answer
    x = 2,744.24

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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.