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Finding the Fourth Proportional to 3,663.31, 5,494.88 and 890.00

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Solution

The fourth proportional to 3,663.31, 5,494.88 and 890.00 is: 1,334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.31 : 5,494.88 = 890.00 : x
  2. Step 2: Convert to fraction form
    3,663.31/5,494.88 = 890.00/x
  3. Step 3: Cross multiply
    3,663.31x = 5,494.88 × 890.00
  4. Step 4: Simplify right side
    3,663.31x = 4,890,417.95
  5. Step 5: Solve for x
    x = 4,890,417.95/3,663.31
  6. Step 6: Final answer
    x = 1,334.97

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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.