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Finding the Fourth Proportional to 4,535.56, 6,801.14 and 1,724.89

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Solution

The fourth proportional to 4,535.56, 6,801.14 and 1,724.89 is: 2,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.56 : 6,801.14 = 1,724.89 : x
  2. Step 2: Convert to fraction form
    4,535.56/6,801.14 = 1,724.89/x
  3. Step 3: Cross multiply
    4,535.56x = 6,801.14 × 1,724.89
  4. Step 4: Simplify right side
    4,535.56x = 11,731,194.46
  5. Step 5: Solve for x
    x = 11,731,194.46/4,535.56
  6. Step 6: Final answer
    x = 2,586.49

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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.