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Finding the Fourth Proportional to 5,797.74, 7,999.65 and 3,440.64

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Solution

The fourth proportional to 5,797.74, 7,999.65 and 3,440.64 is: 4,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.74 : 7,999.65 = 3,440.64 : x
  2. Step 2: Convert to fraction form
    5,797.74/7,999.65 = 3,440.64/x
  3. Step 3: Cross multiply
    5,797.74x = 7,999.65 × 3,440.64
  4. Step 4: Simplify right side
    5,797.74x = 27,523,915.78
  5. Step 5: Solve for x
    x = 27,523,915.78/5,797.74
  6. Step 6: Final answer
    x = 4,747.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.