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Finding the Fourth Proportional to 3,705.60, 5,114.24 and 2,134.40

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Solution

The fourth proportional to 3,705.60, 5,114.24 and 2,134.40 is: 2,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.60 : 5,114.24 = 2,134.40 : x
  2. Step 2: Convert to fraction form
    3,705.60/5,114.24 = 2,134.40/x
  3. Step 3: Cross multiply
    3,705.60x = 5,114.24 × 2,134.40
  4. Step 4: Simplify right side
    3,705.60x = 10,915,833.86
  5. Step 5: Solve for x
    x = 10,915,833.86/3,705.60
  6. Step 6: Final answer
    x = 2,945.77

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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.