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Finding the Fourth Proportional to 5,736.68, 7,894.46 and 5,264.98

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Solution

The fourth proportional to 5,736.68, 7,894.46 and 5,264.98 is: 7,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.68 : 7,894.46 = 5,264.98 : x
  2. Step 2: Convert to fraction form
    5,736.68/7,894.46 = 5,264.98/x
  3. Step 3: Cross multiply
    5,736.68x = 7,894.46 × 5,264.98
  4. Step 4: Simplify right side
    5,736.68x = 41,564,174.01
  5. Step 5: Solve for x
    x = 41,564,174.01/5,736.68
  6. Step 6: Final answer
    x = 7,245.34

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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.