Home / 5,824-8,693.71-5,390.34

Finding the Fourth Proportional to 5,824, 8,693.71 and 5,390.34

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Solution

The fourth proportional to 5,824, 8,693.71 and 5,390.34 is: 8,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824 : 8,693.71 = 5,390.34 : x
  2. Step 2: Convert to fraction form
    5,824/8,693.71 = 5,390.34/x
  3. Step 3: Cross multiply
    5,824x = 8,693.71 × 5,390.34
  4. Step 4: Simplify right side
    5,824x = 46,862,052.76
  5. Step 5: Solve for x
    x = 46,862,052.76/5,824
  6. Step 6: Final answer
    x = 8,046.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.