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Finding the Fourth Proportional to 3,274.68, 4,877.04 and 3,256.14

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Solution

The fourth proportional to 3,274.68, 4,877.04 and 3,256.14 is: 4,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.68 : 4,877.04 = 3,256.14 : x
  2. Step 2: Convert to fraction form
    3,274.68/4,877.04 = 3,256.14/x
  3. Step 3: Cross multiply
    3,274.68x = 4,877.04 × 3,256.14
  4. Step 4: Simplify right side
    3,274.68x = 15,880,325.03
  5. Step 5: Solve for x
    x = 15,880,325.03/3,274.68
  6. Step 6: Final answer
    x = 4,849.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.