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Finding the Fourth Proportional to 5,130.74, 7,687.67 and 2,166.74

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Solution

The fourth proportional to 5,130.74, 7,687.67 and 2,166.74 is: 3,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.74 : 7,687.67 = 2,166.74 : x
  2. Step 2: Convert to fraction form
    5,130.74/7,687.67 = 2,166.74/x
  3. Step 3: Cross multiply
    5,130.74x = 7,687.67 × 2,166.74
  4. Step 4: Simplify right side
    5,130.74x = 16,657,190.48
  5. Step 5: Solve for x
    x = 16,657,190.48/5,130.74
  6. Step 6: Final answer
    x = 3,246.55

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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.