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Finding the Fourth Proportional to 4,932.50, 7,398.84 and 1,645.62

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Solution

The fourth proportional to 4,932.50, 7,398.84 and 1,645.62 is: 2,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.50 : 7,398.84 = 1,645.62 : x
  2. Step 2: Convert to fraction form
    4,932.50/7,398.84 = 1,645.62/x
  3. Step 3: Cross multiply
    4,932.50x = 7,398.84 × 1,645.62
  4. Step 4: Simplify right side
    4,932.50x = 12,175,657.51
  5. Step 5: Solve for x
    x = 12,175,657.51/4,932.50
  6. Step 6: Final answer
    x = 2,468.46

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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.