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Finding the Fourth Proportional to 4,734.86, 6,534.33 and 2,639

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Solution

The fourth proportional to 4,734.86, 6,534.33 and 2,639 is: 3,641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.86 : 6,534.33 = 2,639 : x
  2. Step 2: Convert to fraction form
    4,734.86/6,534.33 = 2,639/x
  3. Step 3: Cross multiply
    4,734.86x = 6,534.33 × 2,639
  4. Step 4: Simplify right side
    4,734.86x = 17,244,096.87
  5. Step 5: Solve for x
    x = 17,244,096.87/4,734.86
  6. Step 6: Final answer
    x = 3,641.94

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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.