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Finding the Fourth Proportional to 4,732.59, 6,528.97 and 2,742.42

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Solution

The fourth proportional to 4,732.59, 6,528.97 and 2,742.42 is: 3,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.59 : 6,528.97 = 2,742.42 : x
  2. Step 2: Convert to fraction form
    4,732.59/6,528.97 = 2,742.42/x
  3. Step 3: Cross multiply
    4,732.59x = 6,528.97 × 2,742.42
  4. Step 4: Simplify right side
    4,732.59x = 17,905,171.05
  5. Step 5: Solve for x
    x = 17,905,171.05/4,732.59
  6. Step 6: Final answer
    x = 3,783.38

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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.