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Finding the Fourth Proportional to 6,027.60, 9,040.68 and 1,645.08

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Solution

The fourth proportional to 6,027.60, 9,040.68 and 1,645.08 is: 2,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.60 : 9,040.68 = 1,645.08 : x
  2. Step 2: Convert to fraction form
    6,027.60/9,040.68 = 1,645.08/x
  3. Step 3: Cross multiply
    6,027.60x = 9,040.68 × 1,645.08
  4. Step 4: Simplify right side
    6,027.60x = 14,872,641.85
  5. Step 5: Solve for x
    x = 14,872,641.85/6,027.60
  6. Step 6: Final answer
    x = 2,467.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.