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Finding the Fourth Proportional to 5,307.28, 7,961 and 1,844.64

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Solution

The fourth proportional to 5,307.28, 7,961 and 1,844.64 is: 2,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.28 : 7,961 = 1,844.64 : x
  2. Step 2: Convert to fraction form
    5,307.28/7,961 = 1,844.64/x
  3. Step 3: Cross multiply
    5,307.28x = 7,961 × 1,844.64
  4. Step 4: Simplify right side
    5,307.28x = 14,685,179.04
  5. Step 5: Solve for x
    x = 14,685,179.04/5,307.28
  6. Step 6: Final answer
    x = 2,766.99

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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.