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Finding the Fourth Proportional to 3,528.57, 5,292.01 and 1,448.02

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Solution

The fourth proportional to 3,528.57, 5,292.01 and 1,448.02 is: 2,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.57 : 5,292.01 = 1,448.02 : x
  2. Step 2: Convert to fraction form
    3,528.57/5,292.01 = 1,448.02/x
  3. Step 3: Cross multiply
    3,528.57x = 5,292.01 × 1,448.02
  4. Step 4: Simplify right side
    3,528.57x = 7,662,936.32
  5. Step 5: Solve for x
    x = 7,662,936.32/3,528.57
  6. Step 6: Final answer
    x = 2,171.68

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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.