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Finding the Fourth Proportional to 4,889.88, 6,742.35 and 3,564.18

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Solution

The fourth proportional to 4,889.88, 6,742.35 and 3,564.18 is: 4,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.88 : 6,742.35 = 3,564.18 : x
  2. Step 2: Convert to fraction form
    4,889.88/6,742.35 = 3,564.18/x
  3. Step 3: Cross multiply
    4,889.88x = 6,742.35 × 3,564.18
  4. Step 4: Simplify right side
    4,889.88x = 24,030,949.02
  5. Step 5: Solve for x
    x = 24,030,949.02/4,889.88
  6. Step 6: Final answer
    x = 4,914.43

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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.