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Finding the Fourth Proportional to 4,774.64, 7,162.16 and 1,311.84

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Solution

The fourth proportional to 4,774.64, 7,162.16 and 1,311.84 is: 1,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.64 : 7,162.16 = 1,311.84 : x
  2. Step 2: Convert to fraction form
    4,774.64/7,162.16 = 1,311.84/x
  3. Step 3: Cross multiply
    4,774.64x = 7,162.16 × 1,311.84
  4. Step 4: Simplify right side
    4,774.64x = 9,395,607.97
  5. Step 5: Solve for x
    x = 9,395,607.97/4,774.64
  6. Step 6: Final answer
    x = 1,967.81

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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.