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Finding the Fourth Proportional to 3,282.76, 4,532.07 and 2,275.93

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Solution

The fourth proportional to 3,282.76, 4,532.07 and 2,275.93 is: 3,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.76 : 4,532.07 = 2,275.93 : x
  2. Step 2: Convert to fraction form
    3,282.76/4,532.07 = 2,275.93/x
  3. Step 3: Cross multiply
    3,282.76x = 4,532.07 × 2,275.93
  4. Step 4: Simplify right side
    3,282.76x = 10,314,674.08
  5. Step 5: Solve for x
    x = 10,314,674.08/3,282.76
  6. Step 6: Final answer
    x = 3,142.07

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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.