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Finding the Fourth Proportional to 4,644.14, 6,964.89 and 1,312.16

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Solution

The fourth proportional to 4,644.14, 6,964.89 and 1,312.16 is: 1,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.14 : 6,964.89 = 1,312.16 : x
  2. Step 2: Convert to fraction form
    4,644.14/6,964.89 = 1,312.16/x
  3. Step 3: Cross multiply
    4,644.14x = 6,964.89 × 1,312.16
  4. Step 4: Simplify right side
    4,644.14x = 9,139,015.24
  5. Step 5: Solve for x
    x = 9,139,015.24/4,644.14
  6. Step 6: Final answer
    x = 1,967.86

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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.