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Finding the Fourth Proportional to 4,502.56, 6,742.72 and 2,854.08

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Solution

The fourth proportional to 4,502.56, 6,742.72 and 2,854.08 is: 4,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.56 : 6,742.72 = 2,854.08 : x
  2. Step 2: Convert to fraction form
    4,502.56/6,742.72 = 2,854.08/x
  3. Step 3: Cross multiply
    4,502.56x = 6,742.72 × 2,854.08
  4. Step 4: Simplify right side
    4,502.56x = 19,244,262.30
  5. Step 5: Solve for x
    x = 19,244,262.30/4,502.56
  6. Step 6: Final answer
    x = 4,274.07

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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.