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Finding the Fourth Proportional to 4,685.58, 7,027.14 and 1,397.80

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Solution

The fourth proportional to 4,685.58, 7,027.14 and 1,397.80 is: 2,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.58 : 7,027.14 = 1,397.80 : x
  2. Step 2: Convert to fraction form
    4,685.58/7,027.14 = 1,397.80/x
  3. Step 3: Cross multiply
    4,685.58x = 7,027.14 × 1,397.80
  4. Step 4: Simplify right side
    4,685.58x = 9,822,536.29
  5. Step 5: Solve for x
    x = 9,822,536.29/4,685.58
  6. Step 6: Final answer
    x = 2,096.33

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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.