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Finding the Fourth Proportional to 4,468.35, 6,699.73 and 1,546.89

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Solution

The fourth proportional to 4,468.35, 6,699.73 and 1,546.89 is: 2,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.35 : 6,699.73 = 1,546.89 : x
  2. Step 2: Convert to fraction form
    4,468.35/6,699.73 = 1,546.89/x
  3. Step 3: Cross multiply
    4,468.35x = 6,699.73 × 1,546.89
  4. Step 4: Simplify right side
    4,468.35x = 10,363,745.34
  5. Step 5: Solve for x
    x = 10,363,745.34/4,468.35
  6. Step 6: Final answer
    x = 2,319.37

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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.