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Finding the Fourth Proportional to 3,590.80, 5,385.72 and 993.92

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Solution

The fourth proportional to 3,590.80, 5,385.72 and 993.92 is: 1,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.80 : 5,385.72 = 993.92 : x
  2. Step 2: Convert to fraction form
    3,590.80/5,385.72 = 993.92/x
  3. Step 3: Cross multiply
    3,590.80x = 5,385.72 × 993.92
  4. Step 4: Simplify right side
    3,590.80x = 5,352,974.82
  5. Step 5: Solve for x
    x = 5,352,974.82/3,590.80
  6. Step 6: Final answer
    x = 1,490.75

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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.