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Finding the Fourth Proportional to 4,734.90, 7,101.54 and 1,772.56

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Solution

The fourth proportional to 4,734.90, 7,101.54 and 1,772.56 is: 2,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.90 : 7,101.54 = 1,772.56 : x
  2. Step 2: Convert to fraction form
    4,734.90/7,101.54 = 1,772.56/x
  3. Step 3: Cross multiply
    4,734.90x = 7,101.54 × 1,772.56
  4. Step 4: Simplify right side
    4,734.90x = 12,587,905.74
  5. Step 5: Solve for x
    x = 12,587,905.74/4,734.90
  6. Step 6: Final answer
    x = 2,658.54

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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.