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Finding the Fourth Proportional to 4,629.51, 6,944.81 and 1,509.39

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Solution

The fourth proportional to 4,629.51, 6,944.81 and 1,509.39 is: 2,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.51 : 6,944.81 = 1,509.39 : x
  2. Step 2: Convert to fraction form
    4,629.51/6,944.81 = 1,509.39/x
  3. Step 3: Cross multiply
    4,629.51x = 6,944.81 × 1,509.39
  4. Step 4: Simplify right side
    4,629.51x = 10,482,419.22
  5. Step 5: Solve for x
    x = 10,482,419.22/4,629.51
  6. Step 6: Final answer
    x = 2,264.26

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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.