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Finding the Fourth Proportional to 5,643.88, 8,466.88 and 2,524.02

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Solution

The fourth proportional to 5,643.88, 8,466.88 and 2,524.02 is: 3,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.88 : 8,466.88 = 2,524.02 : x
  2. Step 2: Convert to fraction form
    5,643.88/8,466.88 = 2,524.02/x
  3. Step 3: Cross multiply
    5,643.88x = 8,466.88 × 2,524.02
  4. Step 4: Simplify right side
    5,643.88x = 21,370,574.46
  5. Step 5: Solve for x
    x = 21,370,574.46/5,643.88
  6. Step 6: Final answer
    x = 3,786.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.