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Finding the Fourth Proportional to 4,765.17, 7,148.07 and 1,645.48

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Solution

The fourth proportional to 4,765.17, 7,148.07 and 1,645.48 is: 2,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.17 : 7,148.07 = 1,645.48 : x
  2. Step 2: Convert to fraction form
    4,765.17/7,148.07 = 1,645.48/x
  3. Step 3: Cross multiply
    4,765.17x = 7,148.07 × 1,645.48
  4. Step 4: Simplify right side
    4,765.17x = 11,761,988.35
  5. Step 5: Solve for x
    x = 11,761,988.35/4,765.17
  6. Step 6: Final answer
    x = 2,468.33

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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.