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Finding the Fourth Proportional to 5,180.82, 7,765.07 and 2,985

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Solution

The fourth proportional to 5,180.82, 7,765.07 and 2,985 is: 4,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.82 : 7,765.07 = 2,985 : x
  2. Step 2: Convert to fraction form
    5,180.82/7,765.07 = 2,985/x
  3. Step 3: Cross multiply
    5,180.82x = 7,765.07 × 2,985
  4. Step 4: Simplify right side
    5,180.82x = 23,178,719.03
  5. Step 5: Solve for x
    x = 23,178,719.03/5,180.82
  6. Step 6: Final answer
    x = 4,473.95

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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.