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Finding the Fourth Proportional to 5,497.88, 7,587 and 2,979.96

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Solution

The fourth proportional to 5,497.88, 7,587 and 2,979.96 is: 4,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.88 : 7,587 = 2,979.96 : x
  2. Step 2: Convert to fraction form
    5,497.88/7,587 = 2,979.96/x
  3. Step 3: Cross multiply
    5,497.88x = 7,587 × 2,979.96
  4. Step 4: Simplify right side
    5,497.88x = 22,608,928.07
  5. Step 5: Solve for x
    x = 22,608,928.07/5,497.88
  6. Step 6: Final answer
    x = 4,112.30

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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.