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Finding the Fourth Proportional to 4,629.82, 6,945.14 and 1,509.01

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Solution

The fourth proportional to 4,629.82, 6,945.14 and 1,509.01 is: 2,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.82 : 6,945.14 = 1,509.01 : x
  2. Step 2: Convert to fraction form
    4,629.82/6,945.14 = 1,509.01/x
  3. Step 3: Cross multiply
    4,629.82x = 6,945.14 × 1,509.01
  4. Step 4: Simplify right side
    4,629.82x = 10,480,311.19
  5. Step 5: Solve for x
    x = 10,480,311.19/4,629.82
  6. Step 6: Final answer
    x = 2,263.66

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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.