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Finding the Fourth Proportional to 3,705.64, 5,114.82 and 2,134.36

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Solution

The fourth proportional to 3,705.64, 5,114.82 and 2,134.36 is: 2,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.64 : 5,114.82 = 2,134.36 : x
  2. Step 2: Convert to fraction form
    3,705.64/5,114.82 = 2,134.36/x
  3. Step 3: Cross multiply
    3,705.64x = 5,114.82 × 2,134.36
  4. Step 4: Simplify right side
    3,705.64x = 10,916,867.22
  5. Step 5: Solve for x
    x = 10,916,867.22/3,705.64
  6. Step 6: Final answer
    x = 2,946.01

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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.