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Finding the Fourth Proportional to 4,759.74, 7,141.10 and 1,838.25

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Solution

The fourth proportional to 4,759.74, 7,141.10 and 1,838.25 is: 2,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.74 : 7,141.10 = 1,838.25 : x
  2. Step 2: Convert to fraction form
    4,759.74/7,141.10 = 1,838.25/x
  3. Step 3: Cross multiply
    4,759.74x = 7,141.10 × 1,838.25
  4. Step 4: Simplify right side
    4,759.74x = 13,127,117.88
  5. Step 5: Solve for x
    x = 13,127,117.88/4,759.74
  6. Step 6: Final answer
    x = 2,757.95

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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.