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Finding the Fourth Proportional to 5,755.34, 7,946.97 and 5,313.08

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Solution

The fourth proportional to 5,755.34, 7,946.97 and 5,313.08 is: 7,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.34 : 7,946.97 = 5,313.08 : x
  2. Step 2: Convert to fraction form
    5,755.34/7,946.97 = 5,313.08/x
  3. Step 3: Cross multiply
    5,755.34x = 7,946.97 × 5,313.08
  4. Step 4: Simplify right side
    5,755.34x = 42,222,887.37
  5. Step 5: Solve for x
    x = 42,222,887.37/5,755.34
  6. Step 6: Final answer
    x = 7,336.30

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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.