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Finding the Fourth Proportional to 3,214.57, 4,435.87 and 1,798.07

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Solution

The fourth proportional to 3,214.57, 4,435.87 and 1,798.07 is: 2,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.57 : 4,435.87 = 1,798.07 : x
  2. Step 2: Convert to fraction form
    3,214.57/4,435.87 = 1,798.07/x
  3. Step 3: Cross multiply
    3,214.57x = 4,435.87 × 1,798.07
  4. Step 4: Simplify right side
    3,214.57x = 7,975,987.10
  5. Step 5: Solve for x
    x = 7,975,987.10/3,214.57
  6. Step 6: Final answer
    x = 2,481.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.