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Finding the Fourth Proportional to 3,780.57, 5,671.46 and 1,589.93

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Solution

The fourth proportional to 3,780.57, 5,671.46 and 1,589.93 is: 2,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.57 : 5,671.46 = 1,589.93 : x
  2. Step 2: Convert to fraction form
    3,780.57/5,671.46 = 1,589.93/x
  3. Step 3: Cross multiply
    3,780.57x = 5,671.46 × 1,589.93
  4. Step 4: Simplify right side
    3,780.57x = 9,017,196.04
  5. Step 5: Solve for x
    x = 9,017,196.04/3,780.57
  6. Step 6: Final answer
    x = 2,385.14

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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.