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Finding the Fourth Proportional to 4,734.94, 6,534.24 and 2,746.67

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Solution

The fourth proportional to 4,734.94, 6,534.24 and 2,746.67 is: 3,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.94 : 6,534.24 = 2,746.67 : x
  2. Step 2: Convert to fraction form
    4,734.94/6,534.24 = 2,746.67/x
  3. Step 3: Cross multiply
    4,734.94x = 6,534.24 × 2,746.67
  4. Step 4: Simplify right side
    4,734.94x = 17,947,387.25
  5. Step 5: Solve for x
    x = 17,947,387.25/4,734.94
  6. Step 6: Final answer
    x = 3,790.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.