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Finding the Fourth Proportional to 3,400.48, 5,097.68 and 1,451.68

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Solution

The fourth proportional to 3,400.48, 5,097.68 and 1,451.68 is: 2,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.48 : 5,097.68 = 1,451.68 : x
  2. Step 2: Convert to fraction form
    3,400.48/5,097.68 = 1,451.68/x
  3. Step 3: Cross multiply
    3,400.48x = 5,097.68 × 1,451.68
  4. Step 4: Simplify right side
    3,400.48x = 7,400,200.10
  5. Step 5: Solve for x
    x = 7,400,200.10/3,400.48
  6. Step 6: Final answer
    x = 2,176.22

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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.