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Finding the Fourth Proportional to 5,282.06, 7,920.43 and 1,770.84

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Solution

The fourth proportional to 5,282.06, 7,920.43 and 1,770.84 is: 2,655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.06 : 7,920.43 = 1,770.84 : x
  2. Step 2: Convert to fraction form
    5,282.06/7,920.43 = 1,770.84/x
  3. Step 3: Cross multiply
    5,282.06x = 7,920.43 × 1,770.84
  4. Step 4: Simplify right side
    5,282.06x = 14,025,809.83
  5. Step 5: Solve for x
    x = 14,025,809.83/5,282.06
  6. Step 6: Final answer
    x = 2,655.37

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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.