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Finding the Fourth Proportional to 3,663.60, 5,495.66 and 1,472.33

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Solution

The fourth proportional to 3,663.60, 5,495.66 and 1,472.33 is: 2,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.60 : 5,495.66 = 1,472.33 : x
  2. Step 2: Convert to fraction form
    3,663.60/5,495.66 = 1,472.33/x
  3. Step 3: Cross multiply
    3,663.60x = 5,495.66 × 1,472.33
  4. Step 4: Simplify right side
    3,663.60x = 8,091,421.41
  5. Step 5: Solve for x
    x = 8,091,421.41/3,663.60
  6. Step 6: Final answer
    x = 2,208.60

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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.