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Finding the Fourth Proportional to 3,705.63, 5,113.76 and 2,134.02

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Solution

The fourth proportional to 3,705.63, 5,113.76 and 2,134.02 is: 2,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.63 : 5,113.76 = 2,134.02 : x
  2. Step 2: Convert to fraction form
    3,705.63/5,113.76 = 2,134.02/x
  3. Step 3: Cross multiply
    3,705.63x = 5,113.76 × 2,134.02
  4. Step 4: Simplify right side
    3,705.63x = 10,912,866.12
  5. Step 5: Solve for x
    x = 10,912,866.12/3,705.63
  6. Step 6: Final answer
    x = 2,944.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.