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Finding the Fourth Proportional to 4,619.20, 6,926.28 and 3,160

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Solution

The fourth proportional to 4,619.20, 6,926.28 and 3,160 is: 4,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619.20 : 6,926.28 = 3,160 : x
  2. Step 2: Convert to fraction form
    4,619.20/6,926.28 = 3,160/x
  3. Step 3: Cross multiply
    4,619.20x = 6,926.28 × 3,160
  4. Step 4: Simplify right side
    4,619.20x = 21,887,044.80
  5. Step 5: Solve for x
    x = 21,887,044.80/4,619.20
  6. Step 6: Final answer
    x = 4,738.28

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