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Finding the Fourth Proportional to 5,232.52, 7,850.94 and 1,770.76

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Solution

The fourth proportional to 5,232.52, 7,850.94 and 1,770.76 is: 2,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.52 : 7,850.94 = 1,770.76 : x
  2. Step 2: Convert to fraction form
    5,232.52/7,850.94 = 1,770.76/x
  3. Step 3: Cross multiply
    5,232.52x = 7,850.94 × 1,770.76
  4. Step 4: Simplify right side
    5,232.52x = 13,902,130.51
  5. Step 5: Solve for x
    x = 13,902,130.51/5,232.52
  6. Step 6: Final answer
    x = 2,656.87

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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.