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Finding the Fourth Proportional to 4,540, 6,265.18 and 2,523.40

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Solution

The fourth proportional to 4,540, 6,265.18 and 2,523.40 is: 3,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540 : 6,265.18 = 2,523.40 : x
  2. Step 2: Convert to fraction form
    4,540/6,265.18 = 2,523.40/x
  3. Step 3: Cross multiply
    4,540x = 6,265.18 × 2,523.40
  4. Step 4: Simplify right side
    4,540x = 15,809,555.21
  5. Step 5: Solve for x
    x = 15,809,555.21/4,540
  6. Step 6: Final answer
    x = 3,482.28

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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.