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Finding the Fourth Proportional to 3,780.66, 5,670.06 and 1,589.46

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Solution

The fourth proportional to 3,780.66, 5,670.06 and 1,589.46 is: 2,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.66 : 5,670.06 = 1,589.46 : x
  2. Step 2: Convert to fraction form
    3,780.66/5,670.06 = 1,589.46/x
  3. Step 3: Cross multiply
    3,780.66x = 5,670.06 × 1,589.46
  4. Step 4: Simplify right side
    3,780.66x = 9,012,333.57
  5. Step 5: Solve for x
    x = 9,012,333.57/3,780.66
  6. Step 6: Final answer
    x = 2,383.80

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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.