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Finding the Fourth Proportional to 3,782.66, 5,673.06 and 1,591.46

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Solution

The fourth proportional to 3,782.66, 5,673.06 and 1,591.46 is: 2,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.66 : 5,673.06 = 1,591.46 : x
  2. Step 2: Convert to fraction form
    3,782.66/5,673.06 = 1,591.46/x
  3. Step 3: Cross multiply
    3,782.66x = 5,673.06 × 1,591.46
  4. Step 4: Simplify right side
    3,782.66x = 9,028,448.07
  5. Step 5: Solve for x
    x = 9,028,448.07/3,782.66
  6. Step 6: Final answer
    x = 2,386.80

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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.