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Finding the Fourth Proportional to 3,590.80, 5,384.37 and 1,641.94

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Solution

The fourth proportional to 3,590.80, 5,384.37 and 1,641.94 is: 2,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.80 : 5,384.37 = 1,641.94 : x
  2. Step 2: Convert to fraction form
    3,590.80/5,384.37 = 1,641.94/x
  3. Step 3: Cross multiply
    3,590.80x = 5,384.37 × 1,641.94
  4. Step 4: Simplify right side
    3,590.80x = 8,840,799.02
  5. Step 5: Solve for x
    x = 8,840,799.02/3,590.80
  6. Step 6: Final answer
    x = 2,462.07

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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.