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Finding the Fourth Proportional to 3,459.10, 5,188.89 and 993.94

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Solution

The fourth proportional to 3,459.10, 5,188.89 and 993.94 is: 1,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.10 : 5,188.89 = 993.94 : x
  2. Step 2: Convert to fraction form
    3,459.10/5,188.89 = 993.94/x
  3. Step 3: Cross multiply
    3,459.10x = 5,188.89 × 993.94
  4. Step 4: Simplify right side
    3,459.10x = 5,157,445.33
  5. Step 5: Solve for x
    x = 5,157,445.33/3,459.10
  6. Step 6: Final answer
    x = 1,490.98

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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.