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Finding the Fourth Proportional to 4,777.68, 7,166.34 and 1,314.84

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Solution

The fourth proportional to 4,777.68, 7,166.34 and 1,314.84 is: 1,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.68 : 7,166.34 = 1,314.84 : x
  2. Step 2: Convert to fraction form
    4,777.68/7,166.34 = 1,314.84/x
  3. Step 3: Cross multiply
    4,777.68x = 7,166.34 × 1,314.84
  4. Step 4: Simplify right side
    4,777.68x = 9,422,590.49
  5. Step 5: Solve for x
    x = 9,422,590.49/4,777.68
  6. Step 6: Final answer
    x = 1,972.21

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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.