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Finding the Fourth Proportional to 5,130.74, 7,694.22 and 1,842.95

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Solution

The fourth proportional to 5,130.74, 7,694.22 and 1,842.95 is: 2,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.74 : 7,694.22 = 1,842.95 : x
  2. Step 2: Convert to fraction form
    5,130.74/7,694.22 = 1,842.95/x
  3. Step 3: Cross multiply
    5,130.74x = 7,694.22 × 1,842.95
  4. Step 4: Simplify right side
    5,130.74x = 14,180,062.75
  5. Step 5: Solve for x
    x = 14,180,062.75/5,130.74
  6. Step 6: Final answer
    x = 2,763.75

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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.