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Finding the Fourth Proportional to 5,496.15, 7,584.65 and 2,978.24

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Solution

The fourth proportional to 5,496.15, 7,584.65 and 2,978.24 is: 4,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.15 : 7,584.65 = 2,978.24 : x
  2. Step 2: Convert to fraction form
    5,496.15/7,584.65 = 2,978.24/x
  3. Step 3: Cross multiply
    5,496.15x = 7,584.65 × 2,978.24
  4. Step 4: Simplify right side
    5,496.15x = 22,588,908.02
  5. Step 5: Solve for x
    x = 22,588,908.02/5,496.15
  6. Step 6: Final answer
    x = 4,109.95

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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.