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Finding the Fourth Proportional to 5,891.90, 8,137.16 and 3,659.08

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Solution

The fourth proportional to 5,891.90, 8,137.16 and 3,659.08 is: 5,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.90 : 8,137.16 = 3,659.08 : x
  2. Step 2: Convert to fraction form
    5,891.90/8,137.16 = 3,659.08/x
  3. Step 3: Cross multiply
    5,891.90x = 8,137.16 × 3,659.08
  4. Step 4: Simplify right side
    5,891.90x = 29,774,460.43
  5. Step 5: Solve for x
    x = 29,774,460.43/5,891.90
  6. Step 6: Final answer
    x = 5,053.46

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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.