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Finding the Fourth Proportional to 4,000, 5,528.74 and 3,524.26

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Solution

The fourth proportional to 4,000, 5,528.74 and 3,524.26 is: 4,871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000 : 5,528.74 = 3,524.26 : x
  2. Step 2: Convert to fraction form
    4,000/5,528.74 = 3,524.26/x
  3. Step 3: Cross multiply
    4,000x = 5,528.74 × 3,524.26
  4. Step 4: Simplify right side
    4,000x = 19,484,717.23
  5. Step 5: Solve for x
    x = 19,484,717.23/4,000
  6. Step 6: Final answer
    x = 4,871.18

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1.5x scale

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.