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Finding the Fourth Proportional to 3,807.09, 5,710.98 and 1,033.77

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Solution

The fourth proportional to 3,807.09, 5,710.98 and 1,033.77 is: 1,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.09 : 5,710.98 = 1,033.77 : x
  2. Step 2: Convert to fraction form
    3,807.09/5,710.98 = 1,033.77/x
  3. Step 3: Cross multiply
    3,807.09x = 5,710.98 × 1,033.77
  4. Step 4: Simplify right side
    3,807.09x = 5,903,839.79
  5. Step 5: Solve for x
    x = 5,903,839.79/3,807.09
  6. Step 6: Final answer
    x = 1,550.75

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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.