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Finding the Fourth Proportional to 4,629.97, 6,945.34 and 1,509.92

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Solution

The fourth proportional to 4,629.97, 6,945.34 and 1,509.92 is: 2,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.97 : 6,945.34 = 1,509.92 : x
  2. Step 2: Convert to fraction form
    4,629.97/6,945.34 = 1,509.92/x
  3. Step 3: Cross multiply
    4,629.97x = 6,945.34 × 1,509.92
  4. Step 4: Simplify right side
    4,629.97x = 10,486,907.77
  5. Step 5: Solve for x
    x = 10,486,907.77/4,629.97
  6. Step 6: Final answer
    x = 2,265.01

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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.