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Finding the Fourth Proportional to 5,733.34, 7,915.77 and 3,970.36

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Solution

The fourth proportional to 5,733.34, 7,915.77 and 3,970.36 is: 5,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.34 : 7,915.77 = 3,970.36 : x
  2. Step 2: Convert to fraction form
    5,733.34/7,915.77 = 3,970.36/x
  3. Step 3: Cross multiply
    5,733.34x = 7,915.77 × 3,970.36
  4. Step 4: Simplify right side
    5,733.34x = 31,428,456.58
  5. Step 5: Solve for x
    x = 31,428,456.58/5,733.34
  6. Step 6: Final answer
    x = 5,481.70

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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.