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Finding the Fourth Proportional to 5,097.35, 7,645.94 and 1,399.58

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Solution

The fourth proportional to 5,097.35, 7,645.94 and 1,399.58 is: 2,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.35 : 7,645.94 = 1,399.58 : x
  2. Step 2: Convert to fraction form
    5,097.35/7,645.94 = 1,399.58/x
  3. Step 3: Cross multiply
    5,097.35x = 7,645.94 × 1,399.58
  4. Step 4: Simplify right side
    5,097.35x = 10,701,101.27
  5. Step 5: Solve for x
    x = 10,701,101.27/5,097.35
  6. Step 6: Final answer
    x = 2,099.35

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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.