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Finding the Fourth Proportional to 5,707.82, 7,876.85 and 3,350.00

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Solution

The fourth proportional to 5,707.82, 7,876.85 and 3,350.00 is: 4,623.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.82 : 7,876.85 = 3,350.00 : x
  2. Step 2: Convert to fraction form
    5,707.82/7,876.85 = 3,350.00/x
  3. Step 3: Cross multiply
    5,707.82x = 7,876.85 × 3,350.00
  4. Step 4: Simplify right side
    5,707.82x = 26,387,391.37
  5. Step 5: Solve for x
    x = 26,387,391.37/5,707.82
  6. Step 6: Final answer
    x = 4,623.03

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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.