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Finding the Fourth Proportional to 3,532.48, 4,875 and 1,960.54

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Solution

The fourth proportional to 3,532.48, 4,875 and 1,960.54 is: 2,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.48 : 4,875 = 1,960.54 : x
  2. Step 2: Convert to fraction form
    3,532.48/4,875 = 1,960.54/x
  3. Step 3: Cross multiply
    3,532.48x = 4,875 × 1,960.54
  4. Step 4: Simplify right side
    3,532.48x = 9,557,632.50
  5. Step 5: Solve for x
    x = 9,557,632.50/3,532.48
  6. Step 6: Final answer
    x = 2,705.64

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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.