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Finding the Fourth Proportional to 5,918.52, 8,202.09 and 5,835

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Solution

The fourth proportional to 5,918.52, 8,202.09 and 5,835 is: 8,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.52 : 8,202.09 = 5,835 : x
  2. Step 2: Convert to fraction form
    5,918.52/8,202.09 = 5,835/x
  3. Step 3: Cross multiply
    5,918.52x = 8,202.09 × 5,835
  4. Step 4: Simplify right side
    5,918.52x = 47,859,195.15
  5. Step 5: Solve for x
    x = 47,859,195.15/5,918.52
  6. Step 6: Final answer
    x = 8,086.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.