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Finding the Fourth Proportional to 3,663.40, 5,495.01 and 890.08

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Solution

The fourth proportional to 3,663.40, 5,495.01 and 890.08 is: 1,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.40 : 5,495.01 = 890.08 : x
  2. Step 2: Convert to fraction form
    3,663.40/5,495.01 = 890.08/x
  3. Step 3: Cross multiply
    3,663.40x = 5,495.01 × 890.08
  4. Step 4: Simplify right side
    3,663.40x = 4,891,012.12
  5. Step 5: Solve for x
    x = 4,891,012.12/3,663.40
  6. Step 6: Final answer
    x = 1,335.10

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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.