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Finding the Fourth Proportional to 4,885.85, 7,324.31 and 1,765.17

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Solution

The fourth proportional to 4,885.85, 7,324.31 and 1,765.17 is: 2,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.85 : 7,324.31 = 1,765.17 : x
  2. Step 2: Convert to fraction form
    4,885.85/7,324.31 = 1,765.17/x
  3. Step 3: Cross multiply
    4,885.85x = 7,324.31 × 1,765.17
  4. Step 4: Simplify right side
    4,885.85x = 12,928,643.46
  5. Step 5: Solve for x
    x = 12,928,643.46/4,885.85
  6. Step 6: Final answer
    x = 2,646.14

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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.