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Finding the Fourth Proportional to 3,590.26, 5,385.38 and 993.18

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Solution

The fourth proportional to 3,590.26, 5,385.38 and 993.18 is: 1,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.26 : 5,385.38 = 993.18 : x
  2. Step 2: Convert to fraction form
    3,590.26/5,385.38 = 993.18/x
  3. Step 3: Cross multiply
    3,590.26x = 5,385.38 × 993.18
  4. Step 4: Simplify right side
    3,590.26x = 5,348,651.71
  5. Step 5: Solve for x
    x = 5,348,651.71/3,590.26
  6. Step 6: Final answer
    x = 1,489.77

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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.