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Finding the Fourth Proportional to 4,734.72, 6,534 and 2,638.68

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Solution

The fourth proportional to 4,734.72, 6,534 and 2,638.68 is: 3,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.72 : 6,534 = 2,638.68 : x
  2. Step 2: Convert to fraction form
    4,734.72/6,534 = 2,638.68/x
  3. Step 3: Cross multiply
    4,734.72x = 6,534 × 2,638.68
  4. Step 4: Simplify right side
    4,734.72x = 17,241,135.12
  5. Step 5: Solve for x
    x = 17,241,135.12/4,734.72
  6. Step 6: Final answer
    x = 3,641.43

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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.