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Finding the Fourth Proportional to 3,086.25, 4,259.64 and 1,827.36

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Solution

The fourth proportional to 3,086.25, 4,259.64 and 1,827.36 is: 2,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.25 : 4,259.64 = 1,827.36 : x
  2. Step 2: Convert to fraction form
    3,086.25/4,259.64 = 1,827.36/x
  3. Step 3: Cross multiply
    3,086.25x = 4,259.64 × 1,827.36
  4. Step 4: Simplify right side
    3,086.25x = 7,783,892.32
  5. Step 5: Solve for x
    x = 7,783,892.32/3,086.25
  6. Step 6: Final answer
    x = 2,522.12

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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.