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Finding the Fourth Proportional to 3,566.64, 5,349.58 and 969.84

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Solution

The fourth proportional to 3,566.64, 5,349.58 and 969.84 is: 1,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.64 : 5,349.58 = 969.84 : x
  2. Step 2: Convert to fraction form
    3,566.64/5,349.58 = 969.84/x
  3. Step 3: Cross multiply
    3,566.64x = 5,349.58 × 969.84
  4. Step 4: Simplify right side
    3,566.64x = 5,188,236.67
  5. Step 5: Solve for x
    x = 5,188,236.67/3,566.64
  6. Step 6: Final answer
    x = 1,454.66

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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.