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Finding the Fourth Proportional to 4,633.56, 6,950.16 and 2,164.98

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Solution

The fourth proportional to 4,633.56, 6,950.16 and 2,164.98 is: 3,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.56 : 6,950.16 = 2,164.98 : x
  2. Step 2: Convert to fraction form
    4,633.56/6,950.16 = 2,164.98/x
  3. Step 3: Cross multiply
    4,633.56x = 6,950.16 × 2,164.98
  4. Step 4: Simplify right side
    4,633.56x = 15,046,957.40
  5. Step 5: Solve for x
    x = 15,046,957.40/4,633.56
  6. Step 6: Final answer
    x = 3,247.39

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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.