Home / 5,342-7,365.64-3,664.24

Finding the Fourth Proportional to 5,342, 7,365.64 and 3,664.24

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Solution

The fourth proportional to 5,342, 7,365.64 and 3,664.24 is: 5,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342 : 7,365.64 = 3,664.24 : x
  2. Step 2: Convert to fraction form
    5,342/7,365.64 = 3,664.24/x
  3. Step 3: Cross multiply
    5,342x = 7,365.64 × 3,664.24
  4. Step 4: Simplify right side
    5,342x = 26,989,472.71
  5. Step 5: Solve for x
    x = 26,989,472.71/5,342
  6. Step 6: Final answer
    x = 5,052.32

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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.