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Finding the Fourth Proportional to 3,316.44, 4,944.14 and 3,160.92

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Solution

The fourth proportional to 3,316.44, 4,944.14 and 3,160.92 is: 4,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.44 : 4,944.14 = 3,160.92 : x
  2. Step 2: Convert to fraction form
    3,316.44/4,944.14 = 3,160.92/x
  3. Step 3: Cross multiply
    3,316.44x = 4,944.14 × 3,160.92
  4. Step 4: Simplify right side
    3,316.44x = 15,628,031.01
  5. Step 5: Solve for x
    x = 15,628,031.01/3,316.44
  6. Step 6: Final answer
    x = 4,712.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.