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Finding the Fourth Proportional to 4,953.75, 7,427.98 and 1,833.63

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Solution

The fourth proportional to 4,953.75, 7,427.98 and 1,833.63 is: 2,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.75 : 7,427.98 = 1,833.63 : x
  2. Step 2: Convert to fraction form
    4,953.75/7,427.98 = 1,833.63/x
  3. Step 3: Cross multiply
    4,953.75x = 7,427.98 × 1,833.63
  4. Step 4: Simplify right side
    4,953.75x = 13,620,166.97
  5. Step 5: Solve for x
    x = 13,620,166.97/4,953.75
  6. Step 6: Final answer
    x = 2,749.47

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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.