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Finding the Fourth Proportional to 5,097.69, 7,646.58 and 1,400.31

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Solution

The fourth proportional to 5,097.69, 7,646.58 and 1,400.31 is: 2,100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.69 : 7,646.58 = 1,400.31 : x
  2. Step 2: Convert to fraction form
    5,097.69/7,646.58 = 1,400.31/x
  3. Step 3: Cross multiply
    5,097.69x = 7,646.58 × 1,400.31
  4. Step 4: Simplify right side
    5,097.69x = 10,707,582.44
  5. Step 5: Solve for x
    x = 10,707,582.44/5,097.69
  6. Step 6: Final answer
    x = 2,100.48

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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.