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Finding the Fourth Proportional to 3,027.56, 4,538.90 and 1,710.50

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Solution

The fourth proportional to 3,027.56, 4,538.90 and 1,710.50 is: 2,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.56 : 4,538.90 = 1,710.50 : x
  2. Step 2: Convert to fraction form
    3,027.56/4,538.90 = 1,710.50/x
  3. Step 3: Cross multiply
    3,027.56x = 4,538.90 × 1,710.50
  4. Step 4: Simplify right side
    3,027.56x = 7,763,770.03
  5. Step 5: Solve for x
    x = 7,763,770.03/3,027.56
  6. Step 6: Final answer
    x = 2,564.37

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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.