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Finding the Fourth Proportional to 4,398, 6,069.24 and 2,535

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Solution

The fourth proportional to 4,398, 6,069.24 and 2,535 is: 3,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398 : 6,069.24 = 2,535 : x
  2. Step 2: Convert to fraction form
    4,398/6,069.24 = 2,535/x
  3. Step 3: Cross multiply
    4,398x = 6,069.24 × 2,535
  4. Step 4: Simplify right side
    4,398x = 15,385,523.40
  5. Step 5: Solve for x
    x = 15,385,523.40/4,398
  6. Step 6: Final answer
    x = 3,498.30

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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.