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Finding the Fourth Proportional to 5,335.88, 7,363.71 and 3,240

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Solution

The fourth proportional to 5,335.88, 7,363.71 and 3,240 is: 4,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.88 : 7,363.71 = 3,240 : x
  2. Step 2: Convert to fraction form
    5,335.88/7,363.71 = 3,240/x
  3. Step 3: Cross multiply
    5,335.88x = 7,363.71 × 3,240
  4. Step 4: Simplify right side
    5,335.88x = 23,858,420.40
  5. Step 5: Solve for x
    x = 23,858,420.40/5,335.88
  6. Step 6: Final answer
    x = 4,471.32

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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.