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Finding the Fourth Proportional to 3,756.86, 5,184.32 and 2,055.34

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Solution

The fourth proportional to 3,756.86, 5,184.32 and 2,055.34 is: 2,836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.86 : 5,184.32 = 2,055.34 : x
  2. Step 2: Convert to fraction form
    3,756.86/5,184.32 = 2,055.34/x
  3. Step 3: Cross multiply
    3,756.86x = 5,184.32 × 2,055.34
  4. Step 4: Simplify right side
    3,756.86x = 10,655,548.03
  5. Step 5: Solve for x
    x = 10,655,548.03/3,756.86
  6. Step 6: Final answer
    x = 2,836.29

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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.