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Finding the Fourth Proportional to 3,532.94, 4,877.70 and 2,274.48

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Solution

The fourth proportional to 3,532.94, 4,877.70 and 2,274.48 is: 3,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.94 : 4,877.70 = 2,274.48 : x
  2. Step 2: Convert to fraction form
    3,532.94/4,877.70 = 2,274.48/x
  3. Step 3: Cross multiply
    3,532.94x = 4,877.70 × 2,274.48
  4. Step 4: Simplify right side
    3,532.94x = 11,094,231.10
  5. Step 5: Solve for x
    x = 11,094,231.10/3,532.94
  6. Step 6: Final answer
    x = 3,140.23

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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.