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Finding the Fourth Proportional to 5,497.82, 7,587 and 2,979.94

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Solution

The fourth proportional to 5,497.82, 7,587 and 2,979.94 is: 4,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.82 : 7,587 = 2,979.94 : x
  2. Step 2: Convert to fraction form
    5,497.82/7,587 = 2,979.94/x
  3. Step 3: Cross multiply
    5,497.82x = 7,587 × 2,979.94
  4. Step 4: Simplify right side
    5,497.82x = 22,608,804.78
  5. Step 5: Solve for x
    x = 22,608,804.78/5,497.82
  6. Step 6: Final answer
    x = 4,112.32

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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.