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Finding the Fourth Proportional to 3,530.97, 4,871.43 and 2,114.68

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Solution

The fourth proportional to 3,530.97, 4,871.43 and 2,114.68 is: 2,917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.97 : 4,871.43 = 2,114.68 : x
  2. Step 2: Convert to fraction form
    3,530.97/4,871.43 = 2,114.68/x
  3. Step 3: Cross multiply
    3,530.97x = 4,871.43 × 2,114.68
  4. Step 4: Simplify right side
    3,530.97x = 10,301,515.59
  5. Step 5: Solve for x
    x = 10,301,515.59/3,530.97
  6. Step 6: Final answer
    x = 2,917.48

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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.