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Finding the Fourth Proportional to 3,807.63, 5,710.23 and 1,209.96

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Solution

The fourth proportional to 3,807.63, 5,710.23 and 1,209.96 is: 1,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.63 : 5,710.23 = 1,209.96 : x
  2. Step 2: Convert to fraction form
    3,807.63/5,710.23 = 1,209.96/x
  3. Step 3: Cross multiply
    3,807.63x = 5,710.23 × 1,209.96
  4. Step 4: Simplify right side
    3,807.63x = 6,909,149.89
  5. Step 5: Solve for x
    x = 6,909,149.89/3,807.63
  6. Step 6: Final answer
    x = 1,814.55

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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.