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Finding the Fourth Proportional to 3,706.29, 5,114.04 and 2,134.08

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Solution

The fourth proportional to 3,706.29, 5,114.04 and 2,134.08 is: 2,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.29 : 5,114.04 = 2,134.08 : x
  2. Step 2: Convert to fraction form
    3,706.29/5,114.04 = 2,134.08/x
  3. Step 3: Cross multiply
    3,706.29x = 5,114.04 × 2,134.08
  4. Step 4: Simplify right side
    3,706.29x = 10,913,762.48
  5. Step 5: Solve for x
    x = 10,913,762.48/3,706.29
  6. Step 6: Final answer
    x = 2,944.66

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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.