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Finding the Fourth Proportional to 3,809.16, 5,713.94 and 1,345.14

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Solution

The fourth proportional to 3,809.16, 5,713.94 and 1,345.14 is: 2,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.16 : 5,713.94 = 1,345.14 : x
  2. Step 2: Convert to fraction form
    3,809.16/5,713.94 = 1,345.14/x
  3. Step 3: Cross multiply
    3,809.16x = 5,713.94 × 1,345.14
  4. Step 4: Simplify right side
    3,809.16x = 7,686,052.61
  5. Step 5: Solve for x
    x = 7,686,052.61/3,809.16
  6. Step 6: Final answer
    x = 2,017.78

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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.