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Finding the Fourth Proportional to 5,739.88, 7,924.82 and 4,411.16

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Solution

The fourth proportional to 5,739.88, 7,924.82 and 4,411.16 is: 6,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.88 : 7,924.82 = 4,411.16 : x
  2. Step 2: Convert to fraction form
    5,739.88/7,924.82 = 4,411.16/x
  3. Step 3: Cross multiply
    5,739.88x = 7,924.82 × 4,411.16
  4. Step 4: Simplify right side
    5,739.88x = 34,957,648.99
  5. Step 5: Solve for x
    x = 34,957,648.99/5,739.88
  6. Step 6: Final answer
    x = 6,090.31

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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.