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Finding the Fourth Proportional to 4,944.66, 7,420.77 and 3,646.50

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Solution

The fourth proportional to 4,944.66, 7,420.77 and 3,646.50 is: 5,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.66 : 7,420.77 = 3,646.50 : x
  2. Step 2: Convert to fraction form
    4,944.66/7,420.77 = 3,646.50/x
  3. Step 3: Cross multiply
    4,944.66x = 7,420.77 × 3,646.50
  4. Step 4: Simplify right side
    4,944.66x = 27,059,837.81
  5. Step 5: Solve for x
    x = 27,059,837.81/4,944.66
  6. Step 6: Final answer
    x = 5,472.54

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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.