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Finding the Fourth Proportional to 3,563.90, 5,345.85 and 966.84

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Solution

The fourth proportional to 3,563.90, 5,345.85 and 966.84 is: 1,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.90 : 5,345.85 = 966.84 : x
  2. Step 2: Convert to fraction form
    3,563.90/5,345.85 = 966.84/x
  3. Step 3: Cross multiply
    3,563.90x = 5,345.85 × 966.84
  4. Step 4: Simplify right side
    3,563.90x = 5,168,559.75
  5. Step 5: Solve for x
    x = 5,168,559.75/3,563.90
  6. Step 6: Final answer
    x = 1,450.25

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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.