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Finding the Fourth Proportional to 3,663.69, 5,495.84 and 1,066.63

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Solution

The fourth proportional to 3,663.69, 5,495.84 and 1,066.63 is: 1,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.69 : 5,495.84 = 1,066.63 : x
  2. Step 2: Convert to fraction form
    3,663.69/5,495.84 = 1,066.63/x
  3. Step 3: Cross multiply
    3,663.69x = 5,495.84 × 1,066.63
  4. Step 4: Simplify right side
    3,663.69x = 5,862,027.82
  5. Step 5: Solve for x
    x = 5,862,027.82/3,663.69
  6. Step 6: Final answer
    x = 1,600.03

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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.