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Finding the Fourth Proportional to 5,724, 7,899.36 and 3,240

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Solution

The fourth proportional to 5,724, 7,899.36 and 3,240 is: 4,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724 : 7,899.36 = 3,240 : x
  2. Step 2: Convert to fraction form
    5,724/7,899.36 = 3,240/x
  3. Step 3: Cross multiply
    5,724x = 7,899.36 × 3,240
  4. Step 4: Simplify right side
    5,724x = 25,593,926.40
  5. Step 5: Solve for x
    x = 25,593,926.40/5,724
  6. Step 6: Final answer
    x = 4,471.34

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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.