Home / 5,825.20-8,032.80-4,564

Finding the Fourth Proportional to 5,825.20, 8,032.80 and 4,564

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Solution

The fourth proportional to 5,825.20, 8,032.80 and 4,564 is: 6,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.20 : 8,032.80 = 4,564 : x
  2. Step 2: Convert to fraction form
    5,825.20/8,032.80 = 4,564/x
  3. Step 3: Cross multiply
    5,825.20x = 8,032.80 × 4,564
  4. Step 4: Simplify right side
    5,825.20x = 36,661,699.20
  5. Step 5: Solve for x
    x = 36,661,699.20/5,825.20
  6. Step 6: Final answer
    x = 6,293.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.