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Finding the Fourth Proportional to 3,797.40, 5,696.04 and 3,146.76

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Solution

The fourth proportional to 3,797.40, 5,696.04 and 3,146.76 is: 4,720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.40 : 5,696.04 = 3,146.76 : x
  2. Step 2: Convert to fraction form
    3,797.40/5,696.04 = 3,146.76/x
  3. Step 3: Cross multiply
    3,797.40x = 5,696.04 × 3,146.76
  4. Step 4: Simplify right side
    3,797.40x = 17,924,070.83
  5. Step 5: Solve for x
    x = 17,924,070.83/3,797.40
  6. Step 6: Final answer
    x = 4,720.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.