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Finding the Fourth Proportional to 5,489.71, 8,232.61 and 1,978.77

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Solution

The fourth proportional to 5,489.71, 8,232.61 and 1,978.77 is: 2,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.71 : 8,232.61 = 1,978.77 : x
  2. Step 2: Convert to fraction form
    5,489.71/8,232.61 = 1,978.77/x
  3. Step 3: Cross multiply
    5,489.71x = 8,232.61 × 1,978.77
  4. Step 4: Simplify right side
    5,489.71x = 16,290,441.69
  5. Step 5: Solve for x
    x = 16,290,441.69/5,489.71
  6. Step 6: Final answer
    x = 2,967.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.