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Finding the Fourth Proportional to 4,644.23, 6,965.54 and 1,312.71

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Solution

The fourth proportional to 4,644.23, 6,965.54 and 1,312.71 is: 1,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.23 : 6,965.54 = 1,312.71 : x
  2. Step 2: Convert to fraction form
    4,644.23/6,965.54 = 1,312.71/x
  3. Step 3: Cross multiply
    4,644.23x = 6,965.54 × 1,312.71
  4. Step 4: Simplify right side
    4,644.23x = 9,143,727.45
  5. Step 5: Solve for x
    x = 9,143,727.45/4,644.23
  6. Step 6: Final answer
    x = 1,968.84

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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.