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Finding the Fourth Proportional to 5,496.82, 7,585.62 and 2,978.95

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Solution

The fourth proportional to 5,496.82, 7,585.62 and 2,978.95 is: 4,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.82 : 7,585.62 = 2,978.95 : x
  2. Step 2: Convert to fraction form
    5,496.82/7,585.62 = 2,978.95/x
  3. Step 3: Cross multiply
    5,496.82x = 7,585.62 × 2,978.95
  4. Step 4: Simplify right side
    5,496.82x = 22,597,182.70
  5. Step 5: Solve for x
    x = 22,597,182.70/5,496.82
  6. Step 6: Final answer
    x = 4,110.96

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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.