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Finding the Fourth Proportional to 4,509.29, 6,762.31 and 1,734.55

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Solution

The fourth proportional to 4,509.29, 6,762.31 and 1,734.55 is: 2,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.29 : 6,762.31 = 1,734.55 : x
  2. Step 2: Convert to fraction form
    4,509.29/6,762.31 = 1,734.55/x
  3. Step 3: Cross multiply
    4,509.29x = 6,762.31 × 1,734.55
  4. Step 4: Simplify right side
    4,509.29x = 11,729,564.81
  5. Step 5: Solve for x
    x = 11,729,564.81/4,509.29
  6. Step 6: Final answer
    x = 2,601.20

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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.