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Finding the Fourth Proportional to 4,478.50, 6,177.80 and 2,797.86

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Solution

The fourth proportional to 4,478.50, 6,177.80 and 2,797.86 is: 3,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.50 : 6,177.80 = 2,797.86 : x
  2. Step 2: Convert to fraction form
    4,478.50/6,177.80 = 2,797.86/x
  3. Step 3: Cross multiply
    4,478.50x = 6,177.80 × 2,797.86
  4. Step 4: Simplify right side
    4,478.50x = 17,284,619.51
  5. Step 5: Solve for x
    x = 17,284,619.51/4,478.50
  6. Step 6: Final answer
    x = 3,859.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.