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Finding the Fourth Proportional to 3,403.14, 5,107.14 and 1,456.74

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Solution

The fourth proportional to 3,403.14, 5,107.14 and 1,456.74 is: 2,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.14 : 5,107.14 = 1,456.74 : x
  2. Step 2: Convert to fraction form
    3,403.14/5,107.14 = 1,456.74/x
  3. Step 3: Cross multiply
    3,403.14x = 5,107.14 × 1,456.74
  4. Step 4: Simplify right side
    3,403.14x = 7,439,775.12
  5. Step 5: Solve for x
    x = 7,439,775.12/3,403.14
  6. Step 6: Final answer
    x = 2,186.15

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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.