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Finding the Fourth Proportional to 5,498.88, 7,585.84 and 3,609.68

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Solution

The fourth proportional to 5,498.88, 7,585.84 and 3,609.68 is: 4,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.88 : 7,585.84 = 3,609.68 : x
  2. Step 2: Convert to fraction form
    5,498.88/7,585.84 = 3,609.68/x
  3. Step 3: Cross multiply
    5,498.88x = 7,585.84 × 3,609.68
  4. Step 4: Simplify right side
    5,498.88x = 27,382,454.93
  5. Step 5: Solve for x
    x = 27,382,454.93/5,498.88
  6. Step 6: Final answer
    x = 4,979.64

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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.