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Finding the Fourth Proportional to 3,590.89, 5,386.40 and 993.83

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Solution

The fourth proportional to 3,590.89, 5,386.40 and 993.83 is: 1,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.89 : 5,386.40 = 993.83 : x
  2. Step 2: Convert to fraction form
    3,590.89/5,386.40 = 993.83/x
  3. Step 3: Cross multiply
    3,590.89x = 5,386.40 × 993.83
  4. Step 4: Simplify right side
    3,590.89x = 5,353,175.61
  5. Step 5: Solve for x
    x = 5,353,175.61/3,590.89
  6. Step 6: Final answer
    x = 1,490.76

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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.