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Finding the Fourth Proportional to 4,659.40, 6,429.81 and 2,669.68

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Solution

The fourth proportional to 4,659.40, 6,429.81 and 2,669.68 is: 3,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.40 : 6,429.81 = 2,669.68 : x
  2. Step 2: Convert to fraction form
    4,659.40/6,429.81 = 2,669.68/x
  3. Step 3: Cross multiply
    4,659.40x = 6,429.81 × 2,669.68
  4. Step 4: Simplify right side
    4,659.40x = 17,165,535.16
  5. Step 5: Solve for x
    x = 17,165,535.16/4,659.40
  6. Step 6: Final answer
    x = 3,684.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.