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Finding the Fourth Proportional to 3,663.52, 5,495.82 and 1,066.12

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Solution

The fourth proportional to 3,663.52, 5,495.82 and 1,066.12 is: 1,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.52 : 5,495.82 = 1,066.12 : x
  2. Step 2: Convert to fraction form
    3,663.52/5,495.82 = 1,066.12/x
  3. Step 3: Cross multiply
    3,663.52x = 5,495.82 × 1,066.12
  4. Step 4: Simplify right side
    3,663.52x = 5,859,203.62
  5. Step 5: Solve for x
    x = 5,859,203.62/3,663.52
  6. Step 6: Final answer
    x = 1,599.34

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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.