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Finding the Fourth Proportional to 3,784.81, 5,223.70 and 2,293.55

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Solution

The fourth proportional to 3,784.81, 5,223.70 and 2,293.55 is: 3,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.81 : 5,223.70 = 2,293.55 : x
  2. Step 2: Convert to fraction form
    3,784.81/5,223.70 = 2,293.55/x
  3. Step 3: Cross multiply
    3,784.81x = 5,223.70 × 2,293.55
  4. Step 4: Simplify right side
    3,784.81x = 11,980,817.14
  5. Step 5: Solve for x
    x = 11,980,817.14/3,784.81
  6. Step 6: Final answer
    x = 3,165.50

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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.